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Finding the Third Proportional to 11,540,940.75 and 25,082,055

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Solution

The third proportional to 11,540,940.75 and 25,082,055 is: 54,511,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540,940.75 : 25,082,055 = 25,082,055 : x
  2. Step 2: Convert to fraction form
    11,540,940.75/25,082,055 = 25,082,055/x
  3. Step 3: Cross multiply
    11,540,940.75x = 25,082,055 × 25,082,055
  4. Step 4: Simplify right side
    11,540,940.75x = 629,109,483,023,025
  5. Step 5: Solve for x
    x = 629,109,483,023,025/11,540,940.75
  6. Step 6: Final answer
    x = 54,511,109.33

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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.