Duplicate or Import Multiple Product Variations

I would like to be able to import (or copy) multiple product variations from one product to another. Is this possible?

I have multiple product variations in one product, which are true for nearly all products on the site.

For instance... T-Shirts

Variation 1: Mens / Womens / Childrens
Variation 2: XS / S / M / L / XL / XXL

I would like to apply ALL variations to one product, and then copy that to each product afterward. All products have already been created, but we could start over if we need (which would be not fun, but possible).

Thanks for your help!