Certainly. And in most states you can get married if you have the same grandparents.
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A common great grandparent means they are second cousins. In most jurisdictions they can get married.
Second cousins are the people in your family who have the same great-grandparents as you, but not the same grandparents.
Two people who share the same great great grandparents are third cousins. To find a cousin relationship, find the common ancestor. If common ancestor is grandparents, they are 1st cousins. If common ancestor is great-grandparents, they are 2nd cousins. If common ancestor is great-great-grandparents, they are 3rd cousins.
Two people whose grandparents were second cousins (sharing the same great grandparent) are fourth cousins to each other (sharing the same great-great-great-great grandparent).
yes.
First cousins are relatives who have the same grandparent. Second cousins are relatives who have the same great grandparent Third cousins are relatives who share the same great great grandparent. If you and a relative have great grandparents who were brother and sister, then you share a great great grandparent, and are third cousins.