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Finding the Third Proportional to 431,838,654 and 932,487,936

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Solution

The third proportional to 431,838,654 and 932,487,936 is: 2,013,561,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,838,654 : 932,487,936 = 932,487,936 : x
  2. Step 2: Convert to fraction form
    431,838,654/932,487,936 = 932,487,936/x
  3. Step 3: Cross multiply
    431,838,654x = 932,487,936 × 932,487,936
  4. Step 4: Simplify right side
    431,838,654x = 869,533,750,785,540,096
  5. Step 5: Solve for x
    x = 869,533,750,785,540,096/431,838,654
  6. Step 6: Final answer
    x = 2,013,561,645.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.