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Finding the Third Proportional to 10,250,397 and 14,418,474

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Solution

The third proportional to 10,250,397 and 14,418,474 is: 20,281,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250,397 : 14,418,474 = 14,418,474 : x
  2. Step 2: Convert to fraction form
    10,250,397/14,418,474 = 14,418,474/x
  3. Step 3: Cross multiply
    10,250,397x = 14,418,474 × 14,418,474
  4. Step 4: Simplify right side
    10,250,397x = 207,892,392,488,676
  5. Step 5: Solve for x
    x = 207,892,392,488,676/10,250,397
  6. Step 6: Final answer
    x = 20,281,399.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.