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Finding the Third Proportional to 42,512,120 and 67,677,780

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Solution

The third proportional to 42,512,120 and 67,677,780 is: 107,740,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,512,120 : 67,677,780 = 67,677,780 : x
  2. Step 2: Convert to fraction form
    42,512,120/67,677,780 = 67,677,780/x
  3. Step 3: Cross multiply
    42,512,120x = 67,677,780 × 67,677,780
  4. Step 4: Simplify right side
    42,512,120x = 4,580,281,905,728,400
  5. Step 5: Solve for x
    x = 4,580,281,905,728,400/42,512,120
  6. Step 6: Final answer
    x = 107,740,613.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.