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Finding the Third Proportional to 38,202,644 and 82,455,200

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Solution

The third proportional to 38,202,644 and 82,455,200 is: 177,968,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,644 : 82,455,200 = 82,455,200 : x
  2. Step 2: Convert to fraction form
    38,202,644/82,455,200 = 82,455,200/x
  3. Step 3: Cross multiply
    38,202,644x = 82,455,200 × 82,455,200
  4. Step 4: Simplify right side
    38,202,644x = 6,798,860,007,040,000
  5. Step 5: Solve for x
    x = 6,798,860,007,040,000/38,202,644
  6. Step 6: Final answer
    x = 177,968,310.44

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