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Finding the Third Proportional to 14,729,394 and 32,008,350

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Solution

The third proportional to 14,729,394 and 32,008,350 is: 69,557,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729,394 : 32,008,350 = 32,008,350 : x
  2. Step 2: Convert to fraction form
    14,729,394/32,008,350 = 32,008,350/x
  3. Step 3: Cross multiply
    14,729,394x = 32,008,350 × 32,008,350
  4. Step 4: Simplify right side
    14,729,394x = 1,024,534,469,722,500
  5. Step 5: Solve for x
    x = 1,024,534,469,722,500/14,729,394
  6. Step 6: Final answer
    x = 69,557,136.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.