Giving glory to God is a central biblical response to divine saving action.
Luke deliberately combines glorifying God, falling at Jesus' feet, thanking Jesus, and Jesus' question about returning to give glory to God.
The narrative convergence makes this stronger than a bare act of bowing and supports Jesus' reception of God-directed thanksgiving.
The Samaritan falls at Jesus' feet and thanks him while glorifying God.
Jesus interprets the return as giving glory to God and pronounces saving restoration.