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Finding the Third Proportional to 3,251,494.13 and 7,529,493.38

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Solution

The third proportional to 3,251,494.13 and 7,529,493.38 is: 17,436,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,494.13 : 7,529,493.38 = 7,529,493.38 : x
  2. Step 2: Convert to fraction form
    3,251,494.13/7,529,493.38 = 7,529,493.38/x
  3. Step 3: Cross multiply
    3,251,494.13x = 7,529,493.38 × 7,529,493.38
  4. Step 4: Simplify right side
    3,251,494.13x = 56,693,270,484,168.89
  5. Step 5: Solve for x
    x = 56,693,270,484,168.89/3,251,494.13
  6. Step 6: Final answer
    x = 17,436,067.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.