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You can achieve this using the Custom URL Thank You Redirect URL of the form Thank You page.
You can test this form https://form.jotform.com/31427061944957? . Put an email address on the Email field and submit the form. The 2nd Form will get the Email addres from the 1st form.
I assume th 2nd Form will have an Autoresponder Email. It can now use the Email field that contains the value of the Email field of the 1st Form.
Hope this help. Let us know if you need further assistance.