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Finding the Third Proportional to 5,285,800.13 and 11,542,314.38

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Solution

The third proportional to 5,285,800.13 and 11,542,314.38 is: 25,204,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285,800.13 : 11,542,314.38 = 11,542,314.38 : x
  2. Step 2: Convert to fraction form
    5,285,800.13/11,542,314.38 = 11,542,314.38/x
  3. Step 3: Cross multiply
    5,285,800.13x = 11,542,314.38 × 11,542,314.38
  4. Step 4: Simplify right side
    5,285,800.13x = 133,225,021,131,331.64
  5. Step 5: Solve for x
    x = 133,225,021,131,331.64/5,285,800.13
  6. Step 6: Final answer
    x = 25,204,324.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.