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Finding the Third Proportional to 3,787,500.38 and 5,876,643.75

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Solution

The third proportional to 3,787,500.38 and 5,876,643.75 is: 9,118,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,500.38 : 5,876,643.75 = 5,876,643.75 : x
  2. Step 2: Convert to fraction form
    3,787,500.38/5,876,643.75 = 5,876,643.75/x
  3. Step 3: Cross multiply
    3,787,500.38x = 5,876,643.75 × 5,876,643.75
  4. Step 4: Simplify right side
    3,787,500.38x = 34,534,941,764,414.06
  5. Step 5: Solve for x
    x = 34,534,941,764,414.06/3,787,500.38
  6. Step 6: Final answer
    x = 9,118,135.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.