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Finding the Third Proportional to 5,172,996.38 and 12,194,191.13

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Solution

The third proportional to 5,172,996.38 and 12,194,191.13 is: 28,745,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172,996.38 : 12,194,191.13 = 12,194,191.13 : x
  2. Step 2: Convert to fraction form
    5,172,996.38/12,194,191.13 = 12,194,191.13/x
  3. Step 3: Cross multiply
    5,172,996.38x = 12,194,191.13 × 12,194,191.13
  4. Step 4: Simplify right side
    5,172,996.38x = 148,698,297,193,028.75
  5. Step 5: Solve for x
    x = 148,698,297,193,028.75/5,172,996.38
  6. Step 6: Final answer
    x = 28,745,099.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.