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Answer:

Two nearest numbers to 19,506 which are divisible by 9 are 19,503 and 19,512.

Step-by-step explanation:

First, divide the number 19,506 by 9 with remainder:

[tex]19,506=2,167\cdot 9+3[/tex]

The smaller number divisible by 9 is

[tex]2,167\cdot 9=19,503[/tex]

The greater number divisible by 9 is

[tex]2,167\cdot 9+9=19,512[/tex]

So, two nearest numbers to 19,506 which are divisible by 9 are 19,503 and 19,512.