You can pass data from one survey to another.
So when a respondent completes survey A, you can file them as a complete and then link them to survey B passing in relevant data, all in the same action.
In your terminate question under the Settings tab, tick the "Link to a Questionnaire or Website" check box and insert your survey link to survey B.
It may look something like this example ...
Where fields like PW / Q1 / Q2 are passed in to survey B. They will appear in survey B as pass-in fields (you will need to define each variable by clicking on the "Questionnaire Access and Passwords" button - see Pass-In Fields tab) and can be used like any other survey questions in skips, piping, constructed lists, etc.
If your survey B is not ready as respondents are completing survey A, you can manually export the relevant data from survey A and import it into survey B as sample. You would have to define all of your variables as merged fields by clicking on the "Questionnaire Access and Passwords" button. Go to the "Merged Fields" tab.
Hope that gets you heading in the right direction.