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Finding the Third Proportional to 41,949,029,743 and 89,881,553,677

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Solution

The third proportional to 41,949,029,743 and 89,881,553,677 is: 192,583,564,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,949,029,743 : 89,881,553,677 = 89,881,553,677 : x
  2. Step 2: Convert to fraction form
    41,949,029,743/89,881,553,677 = 89,881,553,677/x
  3. Step 3: Cross multiply
    41,949,029,743x = 89,881,553,677 × 89,881,553,677
  4. Step 4: Simplify right side
    41,949,029,743x = 8,078,693,691,391,432,720,384
  5. Step 5: Solve for x
    x = 8,078,693,691,391,432,720,384/41,949,029,743
  6. Step 6: Final answer
    x = 192,583,564,885.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.