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Finding the Third Proportional to 40,052,536 and 82,228,374

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Solution

The third proportional to 40,052,536 and 82,228,374 is: 168,815,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,052,536 : 82,228,374 = 82,228,374 : x
  2. Step 2: Convert to fraction form
    40,052,536/82,228,374 = 82,228,374/x
  3. Step 3: Cross multiply
    40,052,536x = 82,228,374 × 82,228,374
  4. Step 4: Simplify right side
    40,052,536x = 6,761,505,490,683,876
  5. Step 5: Solve for x
    x = 6,761,505,490,683,876/40,052,536
  6. Step 6: Final answer
    x = 168,815,914.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.