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Finding the Third Proportional to 31,525,540 and 67,914,308

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Solution

The third proportional to 31,525,540 and 67,914,308 is: 146,305,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525,540 : 67,914,308 = 67,914,308 : x
  2. Step 2: Convert to fraction form
    31,525,540/67,914,308 = 67,914,308/x
  3. Step 3: Cross multiply
    31,525,540x = 67,914,308 × 67,914,308
  4. Step 4: Simplify right side
    31,525,540x = 4,612,353,231,118,864
  5. Step 5: Solve for x
    x = 4,612,353,231,118,864/31,525,540
  6. Step 6: Final answer
    x = 146,305,288.70

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