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Finding the Third Proportional to 146,512,691,801 and 317,365,613,909

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Solution

The third proportional to 146,512,691,801 and 317,365,613,909 is: 687,455,343,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,512,691,801 : 317,365,613,909 = 317,365,613,909 : x
  2. Step 2: Convert to fraction form
    146,512,691,801/317,365,613,909 = 317,365,613,909/x
  3. Step 3: Cross multiply
    146,512,691,801x = 317,365,613,909 × 317,365,613,909
  4. Step 4: Simplify right side
    146,512,691,801x = 100,720,932,891,836,446,408,704
  5. Step 5: Solve for x
    x = 100,720,932,891,836,446,408,704/146,512,691,801
  6. Step 6: Final answer
    x = 687,455,343,654.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.