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Finding the Third Proportional to 5,245,617.38 and 11,288,392.88

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Solution

The third proportional to 5,245,617.38 and 11,288,392.88 is: 24,292,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245,617.38 : 11,288,392.88 = 11,288,392.88 : x
  2. Step 2: Convert to fraction form
    5,245,617.38/11,288,392.88 = 11,288,392.88/x
  3. Step 3: Cross multiply
    5,245,617.38x = 11,288,392.88 × 11,288,392.88
  4. Step 4: Simplify right side
    5,245,617.38x = 127,427,813,700,350.77
  5. Step 5: Solve for x
    x = 127,427,813,700,350.77/5,245,617.38
  6. Step 6: Final answer
    x = 24,292,243.33

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Why These Related Problems?

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