How did the great compromise resolve the issue of slavery and convince south Carolina and Georgia to join the US constitution?

The Great Compromise, while primarily addressing representation in Congress, indirectly impacted the issue of slavery by allowing states to count enslaved individuals as three-fifths of a person for legislative representation and taxation purposes. This concession appeased Southern states like South Carolina and Georgia, as it enhanced their political power in the House of Representatives without directly confronting the institution of slavery. Additionally, the compromise included provisions for the continuation of the slave trade for twenty years, which further encouraged Southern states to support the Constitution. Ultimately, these measures helped secure the participation of Southern states in the new federal framework.