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Finding the Third Proportional to 451,129,644.28 and 717,835,934.53

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Solution

The third proportional to 451,129,644.28 and 717,835,934.53 is: 1,142,218,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,129,644.28 : 717,835,934.53 = 717,835,934.53 : x
  2. Step 2: Convert to fraction form
    451,129,644.28/717,835,934.53 = 717,835,934.53/x
  3. Step 3: Cross multiply
    451,129,644.28x = 717,835,934.53 × 717,835,934.53
  4. Step 4: Simplify right side
    451,129,644.28x = 515,288,428,904,353,024
  5. Step 5: Solve for x
    x = 515,288,428,904,353,024/451,129,644.28
  6. Step 6: Final answer
    x = 1,142,218,064.00

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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.