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Finding the Third Proportional to 451,129,659.47 and 717,835,957.31

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Solution

The third proportional to 451,129,659.47 and 717,835,957.31 is: 1,142,218,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,129,659.47 : 717,835,957.31 = 717,835,957.31 : x
  2. Step 2: Convert to fraction form
    451,129,659.47/717,835,957.31 = 717,835,957.31/x
  3. Step 3: Cross multiply
    451,129,659.47x = 717,835,957.31 × 717,835,957.31
  4. Step 4: Simplify right side
    451,129,659.47x = 515,288,461,610,753,344
  5. Step 5: Solve for x
    x = 515,288,461,610,753,344/451,129,659.47
  6. Step 6: Final answer
    x = 1,142,218,098.05

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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.