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Finding the Third Proportional to 327,215,569.50 and 699,780,766.50

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Solution

The third proportional to 327,215,569.50 and 699,780,766.50 is: 1,496,545,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,215,569.50 : 699,780,766.50 = 699,780,766.50 : x
  2. Step 2: Convert to fraction form
    327,215,569.50/699,780,766.50 = 699,780,766.50/x
  3. Step 3: Cross multiply
    327,215,569.50x = 699,780,766.50 × 699,780,766.50
  4. Step 4: Simplify right side
    327,215,569.50x = 489,693,121,163,327,552
  5. Step 5: Solve for x
    x = 489,693,121,163,327,552/327,215,569.50
  6. Step 6: Final answer
    x = 1,496,545,906.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.