Exhibit III

SCAN TO VIEW MATERIALS & VOTE wCAPITAL CLEAN ENERGY CARRIERS CORP. VOTE BY INTERNET—www.proxyvote.com or scan the QR Barcode above3, IASSONOS ST. 18537PIRAEUS, GREECE Use the Internet to transmit your voting instructions and for electronic delivery of information up until 11:59 P.M. Eastern Time the day before the cut-off date or meeting date. Have your proxy card in hand when you access the web site and follow the instructions to obtain your records and to create an electronic voting instruction form.ELECTRONIC DELIVERY OF FUTURE PROXY MATERIALSIf you would like to reduce the costs incurred by our company in mailing proxy materials, you can consent to receiving all future proxy statements, proxy cards and annual reports electronically via e-mail or the Internet. To sign up for electronic delivery, please follow the instructions above to vote using the Internet and, when prompted, indicate that you agree to receive or access proxy materials electronically in future years.VOTE BY PHONE—1-800-690-6903Use any touch-tone telephone to transmit your voting instructions up until 11:59 P.M. Eastern Time the day before the cut-off date or meeting date. Have your proxy card in hand when you call and then follow the instructions.VOTE BY MAILMark, sign and date your proxy card and return it in the postage-paid envelope we have provided or return it to Vote Processing, c/o Broadridge, 51 Mercedes Way, Edgewood, NY 11717.TO VOTE, MARK BLOCKS BELOW IN BLUE OR BLACK INK AS FOLLOWS:V76972-P36581 KEEP THIS PORTION FOR YOUR RECORDSTHIS PROXY CARD IS VALID ONLY WHEN SIGNED AND DATED. DETACH AND RETURN THIS PORTION ONLYCAPITAL CLEAN ENERGY CARRIERS CORP.The Board of Directors recommends you vote FOR the following proposals:1. To elect eight directors of the Company to serve until the 2026 Annual Meeting of Shareholders. Nominees: For Against Abstain1a. Keith Forman ! ! ! For Against Abstain1b. Gerasimos (Jerry) Kalogiratos ! ! ! 2. To ratify the appointment of Deloitte Certified ! ! !Public Accountants S.A. as our independent registered public accounting firm for the fiscal 1c. Atsunori Kozuki ! ! ! year ending December 31, 2025.1d. Gurpal Grewal ! ! ! NOTE: Shareholders will transact such other business as may properly come before the Annual Meeting and will consider and vote upon any adjournments or 1e. Rory Hussey ! ! ! postponements thereof.1f. Martin Houston ! ! ! THIS PROXY WILL BE VOTED IN ACCORDANCE WITH THE SPECIFICATIONS MADE, BUT IF NO CHOICES ARE INDICATED THIS PROXY WILL BE VOTED FOR THE 1g. Eleni Tsoukala ! ! ! ELECTION OF EACH NOMINEE AND FOR THE PROPOSAL LISTED HEREIN.1h. Dimitrios Christacopoulos ! ! !Yes NoPlease indicate if you plan to attend this meeting. ! !Please sign exactly as your name(s) appear(s) hereon. When signing as attorney, executor, administrator, or other fiduciary, please give full title as such. Joint owners should each sign personally. All holders must sign. If a corporation or partnership, please sign in full corporate or partnership name by authorized officer.Signature [PLEASE SIGN WITHIN BOX] Date Signature (Joint Owners) Date

ANNUAL MEETING OF SHAREHOLDERS OFCAPITAL CLEAN ENERGY CARRIERS CORP.September 22, 2025GO GREEN e-Consent makes it easy to go paperless. With e-Consent, you can quickly access your proxy material, statements and other eligible documents online, while reducing costs, clutter and paper waste. Enroll today via www.proxyvote.com to enjoy online access.Please sign, date and mail your proxy card in the envelope provided as soon as possible.Important Notice Regarding the Availability of Proxy Materials for the Annual Meeting: The Notice and Proxy Statement and Annual Report are available at www.proxyvote.com.V76973-P36581PROXYCAPITAL CLEAN ENERGY CARRIERS CORP.PROXY FOR ANNUAL MEETING TO BE HELD ON SEPTEMBER 22, 2025 THIS PROXY IS SOLICITED ON BEHALF OF THE BOARD OF DIRECTORS The undersigned, revoking all prior proxies, HEREBY APPOINTS Keith Forman, or, if Mr. Forman is not present, any director of the Company, with full power of substitution, as proxy for the undersigned, to represent the undersigned and to vote all the Common Shares of the Company which the undersigned would be entitled to vote, as fully as the undersigned could vote and act if personally present, at the Annual Meeting of Shareholders (the “Meeting”) to be held on September 22, 2025, at 11:30 A.M. Greek time, at the principal executive offices of Capital Clean Energy Carriers Corp., at 3, Iassonos Street, 18537 Piraeus, Greece or at any adjournments or postponements thereof.Should the undersigned be present and elect to vote at the Meeting or at any adjournments or postponements thereof, and after notification to the Company at the Meeting of the shareholder’s decision to terminate this proxy, then the power of such attorneys or proxies shall be deemed terminated and of no further force and effect. This proxy may also be revoked by filing a written notice of revocation with the Company or by duly executing a proxy bearing a later date.(Continued and to be signed on reverse side.)