This phrase often refers to talents or characteristics passed down through family generations. His grandfather was a poet, and it seems that poetic talent runs in his blood.
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Not Literal
The phrase is metaphorical and doesn’t involve actual blood, but the innate or inherited aspect of someone's character or abilities. Even though no one taught her, cooking just runs in her blood.
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Idiomatic Usage
Used to emphasize that a skill seems natural, not necessarily that a person trained to become skilled. He makes stunning furniture, and craftsmanship definitely runs in his blood.