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Finding the Third Proportional to 4,948,200.25 and 7,661,736.38

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Solution

The third proportional to 4,948,200.25 and 7,661,736.38 is: 11,863,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948,200.25 : 7,661,736.38 = 7,661,736.38 : x
  2. Step 2: Convert to fraction form
    4,948,200.25/7,661,736.38 = 7,661,736.38/x
  3. Step 3: Cross multiply
    4,948,200.25x = 7,661,736.38 × 7,661,736.38
  4. Step 4: Simplify right side
    4,948,200.25x = 58,702,204,279,998.14
  5. Step 5: Solve for x
    x = 58,702,204,279,998.14/4,948,200.25
  6. Step 6: Final answer
    x = 11,863,344.51

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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.