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Finding the Third Proportional to 22,319,834.50 and 31,591,257

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Solution

The third proportional to 22,319,834.50 and 31,591,257 is: 44,713,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319,834.50 : 31,591,257 = 31,591,257 : x
  2. Step 2: Convert to fraction form
    22,319,834.50/31,591,257 = 31,591,257/x
  3. Step 3: Cross multiply
    22,319,834.50x = 31,591,257 × 31,591,257
  4. Step 4: Simplify right side
    22,319,834.50x = 998,007,518,840,049
  5. Step 5: Solve for x
    x = 998,007,518,840,049/22,319,834.50
  6. Step 6: Final answer
    x = 44,713,930.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.