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Finding the Third Proportional to 7,677,531 and 16,801,398

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Solution

The third proportional to 7,677,531 and 16,801,398 is: 36,767,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,531 : 16,801,398 = 16,801,398 : x
  2. Step 2: Convert to fraction form
    7,677,531/16,801,398 = 16,801,398/x
  3. Step 3: Cross multiply
    7,677,531x = 16,801,398 × 16,801,398
  4. Step 4: Simplify right side
    7,677,531x = 282,286,974,754,404
  5. Step 5: Solve for x
    x = 282,286,974,754,404/7,677,531
  6. Step 6: Final answer
    x = 36,767,936.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.