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Finding the Third Proportional to 3,192,412,991 and 7,458,917,223

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Solution

The third proportional to 3,192,412,991 and 7,458,917,223 is: 17,427,396,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,412,991 : 7,458,917,223 = 7,458,917,223 : x
  2. Step 2: Convert to fraction form
    3,192,412,991/7,458,917,223 = 7,458,917,223/x
  3. Step 3: Cross multiply
    3,192,412,991x = 7,458,917,223 × 7,458,917,223
  4. Step 4: Simplify right side
    3,192,412,991x = 55,635,446,139,566,030,848
  5. Step 5: Solve for x
    x = 55,635,446,139,566,030,848/3,192,412,991
  6. Step 6: Final answer
    x = 17,427,396,234.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.