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Finding the Third Proportional to 40,447,084 and 57,231,376

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Solution

The third proportional to 40,447,084 and 57,231,376 is: 80,980,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,447,084 : 57,231,376 = 57,231,376 : x
  2. Step 2: Convert to fraction form
    40,447,084/57,231,376 = 57,231,376/x
  3. Step 3: Cross multiply
    40,447,084x = 57,231,376 × 57,231,376
  4. Step 4: Simplify right side
    40,447,084x = 3,275,430,398,853,376
  5. Step 5: Solve for x
    x = 3,275,430,398,853,376/40,447,084
  6. Step 6: Final answer
    x = 80,980,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.