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Finding the Third Proportional to 3,821,013 and 5,192,039.25

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Solution

The third proportional to 3,821,013 and 5,192,039.25 is: 7,055,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821,013 : 5,192,039.25 = 5,192,039.25 : x
  2. Step 2: Convert to fraction form
    3,821,013/5,192,039.25 = 5,192,039.25/x
  3. Step 3: Cross multiply
    3,821,013x = 5,192,039.25 × 5,192,039.25
  4. Step 4: Simplify right side
    3,821,013x = 26,957,271,573,540.56
  5. Step 5: Solve for x
    x = 26,957,271,573,540.56/3,821,013
  6. Step 6: Final answer
    x = 7,055,006.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.