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Finding the Third Proportional to 31,513,328 and 68,548,102

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Solution

The third proportional to 31,513,328 and 68,548,102 is: 149,106,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513,328 : 68,548,102 = 68,548,102 : x
  2. Step 2: Convert to fraction form
    31,513,328/68,548,102 = 68,548,102/x
  3. Step 3: Cross multiply
    31,513,328x = 68,548,102 × 68,548,102
  4. Step 4: Simplify right side
    31,513,328x = 4,698,842,287,802,404
  5. Step 5: Solve for x
    x = 4,698,842,287,802,404/31,513,328
  6. Step 6: Final answer
    x = 149,106,507.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.