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Finding the Third Proportional to 31,350,873.66 and 65,560,318.73

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Solution

The third proportional to 31,350,873.66 and 65,560,318.73 is: 137,098,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,350,873.66 : 65,560,318.73 = 65,560,318.73 : x
  2. Step 2: Convert to fraction form
    31,350,873.66/65,560,318.73 = 65,560,318.73/x
  3. Step 3: Cross multiply
    31,350,873.66x = 65,560,318.73 × 65,560,318.73
  4. Step 4: Simplify right side
    31,350,873.66x = 4,298,155,392,552,841.50
  5. Step 5: Solve for x
    x = 4,298,155,392,552,841.50/31,350,873.66
  6. Step 6: Final answer
    x = 137,098,424.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.