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Finding the Third Proportional to 7,480,860 and 16,157,448

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Solution

The third proportional to 7,480,860 and 16,157,448 is: 34,897,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480,860 : 16,157,448 = 16,157,448 : x
  2. Step 2: Convert to fraction form
    7,480,860/16,157,448 = 16,157,448/x
  3. Step 3: Cross multiply
    7,480,860x = 16,157,448 × 16,157,448
  4. Step 4: Simplify right side
    7,480,860x = 261,063,125,872,704
  5. Step 5: Solve for x
    x = 261,063,125,872,704/7,480,860
  6. Step 6: Final answer
    x = 34,897,475.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.