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Finding the Third Proportional to 38,800,268.16 and 53,948,843.86

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Solution

The third proportional to 38,800,268.16 and 53,948,843.86 is: 75,011,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800,268.16 : 53,948,843.86 = 53,948,843.86 : x
  2. Step 2: Convert to fraction form
    38,800,268.16/53,948,843.86 = 53,948,843.86/x
  3. Step 3: Cross multiply
    38,800,268.16x = 53,948,843.86 × 53,948,843.86
  4. Step 4: Simplify right side
    38,800,268.16x = 2,910,477,753,763,223.50
  5. Step 5: Solve for x
    x = 2,910,477,753,763,223.50/38,800,268.16
  6. Step 6: Final answer
    x = 75,011,794.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.