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Finding the Third Proportional to 3,192,412,996 and 7,458,917,232

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Solution

The third proportional to 3,192,412,996 and 7,458,917,232 is: 17,427,396,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,412,996 : 7,458,917,232 = 7,458,917,232 : x
  2. Step 2: Convert to fraction form
    3,192,412,996/7,458,917,232 = 7,458,917,232/x
  3. Step 3: Cross multiply
    3,192,412,996x = 7,458,917,232 × 7,458,917,232
  4. Step 4: Simplify right side
    3,192,412,996x = 55,635,446,273,826,545,664
  5. Step 5: Solve for x
    x = 55,635,446,273,826,545,664/3,192,412,996
  6. Step 6: Final answer
    x = 17,427,396,249.65

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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.