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Finding the Third Proportional to 2,940,425.50 and 6,331,403.25

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Solution

The third proportional to 2,940,425.50 and 6,331,403.25 is: 13,632,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,425.50 : 6,331,403.25 = 6,331,403.25 : x
  2. Step 2: Convert to fraction form
    2,940,425.50/6,331,403.25 = 6,331,403.25/x
  3. Step 3: Cross multiply
    2,940,425.50x = 6,331,403.25 × 6,331,403.25
  4. Step 4: Simplify right side
    2,940,425.50x = 40,086,667,114,110.56
  5. Step 5: Solve for x
    x = 40,086,667,114,110.56/2,940,425.50
  6. Step 6: Final answer
    x = 13,632,947.72

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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.