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Finding the Third Proportional to 4,235,793.75 and 6,480,901.13

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Solution

The third proportional to 4,235,793.75 and 6,480,901.13 is: 9,915,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235,793.75 : 6,480,901.13 = 6,480,901.13 : x
  2. Step 2: Convert to fraction form
    4,235,793.75/6,480,901.13 = 6,480,901.13/x
  3. Step 3: Cross multiply
    4,235,793.75x = 6,480,901.13 × 6,480,901.13
  4. Step 4: Simplify right side
    4,235,793.75x = 42,002,079,392,026.27
  5. Step 5: Solve for x
    x = 42,002,079,392,026.27/4,235,793.75
  6. Step 6: Final answer
    x = 9,915,987.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.