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Finding the Third Proportional to 451,129,648.50 and 717,835,941

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Solution

The third proportional to 451,129,648.50 and 717,835,941 is: 1,142,218,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,129,648.50 : 717,835,941 = 717,835,941 : x
  2. Step 2: Convert to fraction form
    451,129,648.50/717,835,941 = 717,835,941/x
  3. Step 3: Cross multiply
    451,129,648.50x = 717,835,941 × 717,835,941
  4. Step 4: Simplify right side
    451,129,648.50x = 515,288,438,191,355,456
  5. Step 5: Solve for x
    x = 515,288,438,191,355,456/451,129,648.50
  6. Step 6: Final answer
    x = 1,142,218,073.91

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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.