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Finding the Third Proportional to 5,491,470.94 and 11,437,463.25

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Solution

The third proportional to 5,491,470.94 and 11,437,463.25 is: 23,821,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491,470.94 : 11,437,463.25 = 11,437,463.25 : x
  2. Step 2: Convert to fraction form
    5,491,470.94/11,437,463.25 = 11,437,463.25/x
  3. Step 3: Cross multiply
    5,491,470.94x = 11,437,463.25 × 11,437,463.25
  4. Step 4: Simplify right side
    5,491,470.94x = 130,815,565,595,100.56
  5. Step 5: Solve for x
    x = 130,815,565,595,100.56/5,491,470.94
  6. Step 6: Final answer
    x = 23,821,589.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.