The ratio of the \(10^{\text{th}}\) term to \(16^{\text{th}}\) term of an \(A.P.\) is \(5:7\). Find the ratio of \(a_{6}\) term to \(a_{22}\) term of the same \(A.P.\). Also, determine the ratio of the sum of first \(6\) terms to that of first \(22\) terms.
