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Finding the Third Proportional to 31,525,509 and 67,914,258

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Solution

The third proportional to 31,525,509 and 67,914,258 is: 146,305,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525,509 : 67,914,258 = 67,914,258 : x
  2. Step 2: Convert to fraction form
    31,525,509/67,914,258 = 67,914,258/x
  3. Step 3: Cross multiply
    31,525,509x = 67,914,258 × 67,914,258
  4. Step 4: Simplify right side
    31,525,509x = 4,612,346,439,690,564
  5. Step 5: Solve for x
    x = 4,612,346,439,690,564/31,525,509
  6. Step 6: Final answer
    x = 146,305,217.14

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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.