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Finding the Third Proportional to 451,129,645.97 and 717,835,937.06

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Solution

The third proportional to 451,129,645.97 and 717,835,937.06 is: 1,142,218,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,129,645.97 : 717,835,937.06 = 717,835,937.06 : x
  2. Step 2: Convert to fraction form
    451,129,645.97/717,835,937.06 = 717,835,937.06/x
  3. Step 3: Cross multiply
    451,129,645.97x = 717,835,937.06 × 717,835,937.06
  4. Step 4: Simplify right side
    451,129,645.97x = 515,288,432,538,397,440
  5. Step 5: Solve for x
    x = 515,288,432,538,397,440/451,129,645.97
  6. Step 6: Final answer
    x = 1,142,218,067.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.