Database: college_completion
Question: Name the state with the most number of graduate cohort in 2012 from private institute for profit? List all such institutes in the mentioned state.
SQL: SELECT T1.state, T1.chronname FROM institution_details AS T1 INNER JOIN state_sector_grads AS T2 ON T1.state = T2.state WHERE T2.year = 2012 AND T1.control = 'Private for-profit' GROUP BY T2.grad_cohort ORDER BY COUNT(T2.grad_cohort) DESC LIMIT 1