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Finding the Third Proportional to 11,541,000 and 25,082,166

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Solution

The third proportional to 11,541,000 and 25,082,166 is: 54,511,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541,000 : 25,082,166 = 25,082,166 : x
  2. Step 2: Convert to fraction form
    11,541,000/25,082,166 = 25,082,166/x
  3. Step 3: Cross multiply
    11,541,000x = 25,082,166 × 25,082,166
  4. Step 4: Simplify right side
    11,541,000x = 629,115,051,251,556
  5. Step 5: Solve for x
    x = 629,115,051,251,556/11,541,000
  6. Step 6: Final answer
    x = 54,511,311.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.