\(\frac{15+x}{3}=\frac{3^6}{3^3}\)
\(\Leftrightarrow\)\(\frac{15+x}{3}=3^3\)
\(\Leftrightarrow15+x=3^4\)
\(\Leftrightarrow x=81-15=66\)
\(\left(15+x\right):3=3^6:3^3\)
\(\left(15+x\right):3=27\)
\(15+x=27.3\)
\(15+x=81\)
\(x=81-15\)
\(x=66\)
vậy x=66
\(1+2+3+4+...+2012+2013\)
\(=\frac{2013.\left(2013+1\right)}{2}\)
\(=2027091\)