Consider the following pattern:

123,456,789 × 9 = 1,111,111,101

123,456,789 × 18 = 2,222,222,202

123,456,789 × 27 = 3,333,333,303

a. Use this pattern and inductive reasoning to find the next problem and the next answer in the sequence.

b. Use this pattern to find 123,456,789 × 9,000

c. Use this pattern to find 123,456,789 × 81,000