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Finding the Third Proportional to 8,562,498 and 11,741,507

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Solution

The third proportional to 8,562,498 and 11,741,507 is: 16,100,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562,498 : 11,741,507 = 11,741,507 : x
  2. Step 2: Convert to fraction form
    8,562,498/11,741,507 = 11,741,507/x
  3. Step 3: Cross multiply
    8,562,498x = 11,741,507 × 11,741,507
  4. Step 4: Simplify right side
    8,562,498x = 137,862,986,631,049
  5. Step 5: Solve for x
    x = 137,862,986,631,049/8,562,498
  6. Step 6: Final answer
    x = 16,100,790.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.