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Finding the Third Proportional to 3,192,413,064 and 7,458,917,400

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Solution

The third proportional to 3,192,413,064 and 7,458,917,400 is: 17,427,396,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,413,064 : 7,458,917,400 = 7,458,917,400 : x
  2. Step 2: Convert to fraction form
    3,192,413,064/7,458,917,400 = 7,458,917,400/x
  3. Step 3: Cross multiply
    3,192,413,064x = 7,458,917,400 × 7,458,917,400
  4. Step 4: Simplify right side
    3,192,413,064x = 55,635,448,780,022,759,424
  5. Step 5: Solve for x
    x = 55,635,448,780,022,759,424/3,192,413,064
  6. Step 6: Final answer
    x = 17,427,396,663.49

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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.