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Finding the Third Proportional to 432,387,654 and 951,251,916

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Solution

The third proportional to 432,387,654 and 951,251,916 is: 2,092,752,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,387,654 : 951,251,916 = 951,251,916 : x
  2. Step 2: Convert to fraction form
    432,387,654/951,251,916 = 951,251,916/x
  3. Step 3: Cross multiply
    432,387,654x = 951,251,916 × 951,251,916
  4. Step 4: Simplify right side
    432,387,654x = 904,880,207,693,671,040
  5. Step 5: Solve for x
    x = 904,880,207,693,671,040/432,387,654
  6. Step 6: Final answer
    x = 2,092,752,185.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.