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Finding the Third Proportional to 40,052,580 and 82,228,452

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Solution

The third proportional to 40,052,580 and 82,228,452 is: 168,816,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,052,580 : 82,228,452 = 82,228,452 : x
  2. Step 2: Convert to fraction form
    40,052,580/82,228,452 = 82,228,452/x
  3. Step 3: Cross multiply
    40,052,580x = 82,228,452 × 82,228,452
  4. Step 4: Simplify right side
    40,052,580x = 6,761,518,318,316,304
  5. Step 5: Solve for x
    x = 6,761,518,318,316,304/40,052,580
  6. Step 6: Final answer
    x = 168,816,049.26

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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.