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Finding the Third Proportional to 32,122,414 and 48,936,468

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Solution

The third proportional to 32,122,414 and 48,936,468 is: 74,551,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122,414 : 48,936,468 = 48,936,468 : x
  2. Step 2: Convert to fraction form
    32,122,414/48,936,468 = 48,936,468/x
  3. Step 3: Cross multiply
    32,122,414x = 48,936,468 × 48,936,468
  4. Step 4: Simplify right side
    32,122,414x = 2,394,777,900,315,024
  5. Step 5: Solve for x
    x = 2,394,777,900,315,024/32,122,414
  6. Step 6: Final answer
    x = 74,551,616.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.