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Finding the Third Proportional to 31,324,422 and 67,275,987

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Solution

The third proportional to 31,324,422 and 67,275,987 is: 144,489,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324,422 : 67,275,987 = 67,275,987 : x
  2. Step 2: Convert to fraction form
    31,324,422/67,275,987 = 67,275,987/x
  3. Step 3: Cross multiply
    31,324,422x = 67,275,987 × 67,275,987
  4. Step 4: Simplify right side
    31,324,422x = 4,526,058,426,824,169
  5. Step 5: Solve for x
    x = 4,526,058,426,824,169/31,324,422
  6. Step 6: Final answer
    x = 144,489,766.70

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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.