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Finding the Third Proportional to 31,806,536 and 69,244,352

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Solution

The third proportional to 31,806,536 and 69,244,352 is: 150,748,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806,536 : 69,244,352 = 69,244,352 : x
  2. Step 2: Convert to fraction form
    31,806,536/69,244,352 = 69,244,352/x
  3. Step 3: Cross multiply
    31,806,536x = 69,244,352 × 69,244,352
  4. Step 4: Simplify right side
    31,806,536x = 4,794,780,283,899,904
  5. Step 5: Solve for x
    x = 4,794,780,283,899,904/31,806,536
  6. Step 6: Final answer
    x = 150,748,270.23

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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.