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Finding the Third Proportional to 31,947,759 and 68,921,244

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Solution

The third proportional to 31,947,759 and 68,921,244 is: 148,684,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947,759 : 68,921,244 = 68,921,244 : x
  2. Step 2: Convert to fraction form
    31,947,759/68,921,244 = 68,921,244/x
  3. Step 3: Cross multiply
    31,947,759x = 68,921,244 × 68,921,244
  4. Step 4: Simplify right side
    31,947,759x = 4,750,137,874,507,536
  5. Step 5: Solve for x
    x = 4,750,137,874,507,536/31,947,759
  6. Step 6: Final answer
    x = 148,684,540.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.