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Finding the Third Proportional to 31,350,880.69 and 65,560,330.97

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Solution

The third proportional to 31,350,880.69 and 65,560,330.97 is: 137,098,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,350,880.69 : 65,560,330.97 = 65,560,330.97 : x
  2. Step 2: Convert to fraction form
    31,350,880.69/65,560,330.97 = 65,560,330.97/x
  3. Step 3: Cross multiply
    31,350,880.69x = 65,560,330.97 × 65,560,330.97
  4. Step 4: Simplify right side
    31,350,880.69x = 4,298,156,996,732,040.50
  5. Step 5: Solve for x
    x = 4,298,156,996,732,040.50/31,350,880.69
  6. Step 6: Final answer
    x = 137,098,445.16

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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.