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Finding the Third Proportional to 31,310,141 and 67,250,422

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Solution

The third proportional to 31,310,141 and 67,250,422 is: 144,445,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310,141 : 67,250,422 = 67,250,422 : x
  2. Step 2: Convert to fraction form
    31,310,141/67,250,422 = 67,250,422/x
  3. Step 3: Cross multiply
    31,310,141x = 67,250,422 × 67,250,422
  4. Step 4: Simplify right side
    31,310,141x = 4,522,619,259,178,084
  5. Step 5: Solve for x
    x = 4,522,619,259,178,084/31,310,141
  6. Step 6: Final answer
    x = 144,445,828.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.