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Finding the Third Proportional to 11,541,009 and 25,082,184

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Solution

The third proportional to 11,541,009 and 25,082,184 is: 54,511,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541,009 : 25,082,184 = 25,082,184 : x
  2. Step 2: Convert to fraction form
    11,541,009/25,082,184 = 25,082,184/x
  3. Step 3: Cross multiply
    11,541,009x = 25,082,184 × 25,082,184
  4. Step 4: Simplify right side
    11,541,009x = 629,115,954,209,856
  5. Step 5: Solve for x
    x = 629,115,954,209,856/11,541,009
  6. Step 6: Final answer
    x = 54,511,347.68

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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.