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Finding the Third Proportional to 10,993,942.69 and 23,691,884.91

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Solution

The third proportional to 10,993,942.69 and 23,691,884.91 is: 51,055,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993,942.69 : 23,691,884.91 = 23,691,884.91 : x
  2. Step 2: Convert to fraction form
    10,993,942.69/23,691,884.91 = 23,691,884.91/x
  3. Step 3: Cross multiply
    10,993,942.69x = 23,691,884.91 × 23,691,884.91
  4. Step 4: Simplify right side
    10,993,942.69x = 561,305,410,410,996.56
  5. Step 5: Solve for x
    x = 561,305,410,410,996.56/10,993,942.69
  6. Step 6: Final answer
    x = 51,055,879.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.