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Finding the Third Proportional to 31,525,508 and 67,914,256

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Solution

The third proportional to 31,525,508 and 67,914,256 is: 146,305,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525,508 : 67,914,256 = 67,914,256 : x
  2. Step 2: Convert to fraction form
    31,525,508/67,914,256 = 67,914,256/x
  3. Step 3: Cross multiply
    31,525,508x = 67,914,256 × 67,914,256
  4. Step 4: Simplify right side
    31,525,508x = 4,612,346,168,033,536
  5. Step 5: Solve for x
    x = 4,612,346,168,033,536/31,525,508
  6. Step 6: Final answer
    x = 146,305,213.16

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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.