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Finding the Third Proportional to 9,929,414 and 15,438,327

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Solution

The third proportional to 9,929,414 and 15,438,327 is: 24,003,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929,414 : 15,438,327 = 15,438,327 : x
  2. Step 2: Convert to fraction form
    9,929,414/15,438,327 = 15,438,327/x
  3. Step 3: Cross multiply
    9,929,414x = 15,438,327 × 15,438,327
  4. Step 4: Simplify right side
    9,929,414x = 238,341,940,558,929
  5. Step 5: Solve for x
    x = 238,341,940,558,929/9,929,414
  6. Step 6: Final answer
    x = 24,003,626.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.