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Finding the Third Proportional to 40,052,532 and 82,228,369.50

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Solution

The third proportional to 40,052,532 and 82,228,369.50 is: 168,815,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,052,532 : 82,228,369.50 = 82,228,369.50 : x
  2. Step 2: Convert to fraction form
    40,052,532/82,228,369.50 = 82,228,369.50/x
  3. Step 3: Cross multiply
    40,052,532x = 82,228,369.50 × 82,228,369.50
  4. Step 4: Simplify right side
    40,052,532x = 6,761,504,750,628,530
  5. Step 5: Solve for x
    x = 6,761,504,750,628,530/40,052,532
  6. Step 6: Final answer
    x = 168,815,912.83

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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.