设数列\(\{a_{n}\}\)是等比数列，数列\(\{b_{n}\}\)是等差数列，若\(a_{2}=b_{2}=3\)，\(a_{3}=b_{5}=9.\)
\((1)\)若\(c_{n}=\dfrac{n\cdot b_{n}}{a_{n}}\)，数列\(\{c_{n}\}\)中的最大项是第\(k\)项，求\(k\)的值；
\((2)\)设\(d_{n}=a_{n}\boldsymbol{⋅}b_{n}\)，求数列\(\{d_{n}\}\)的前\(n\)项和\(T_{n}.\)