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Finding the Third Proportional to 42,287,061 and 67,287,690

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Solution

The third proportional to 42,287,061 and 67,287,690 is: 107,068,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,287,061 : 67,287,690 = 67,287,690 : x
  2. Step 2: Convert to fraction form
    42,287,061/67,287,690 = 67,287,690/x
  3. Step 3: Cross multiply
    42,287,061x = 67,287,690 × 67,287,690
  4. Step 4: Simplify right side
    42,287,061x = 4,527,633,225,536,100
  5. Step 5: Solve for x
    x = 4,527,633,225,536,100/42,287,061
  6. Step 6: Final answer
    x = 107,068,997.43

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Why These Related Problems?

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