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Finding the Third Proportional to 3,192,413,068 and 7,458,917,410

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Solution

The third proportional to 3,192,413,068 and 7,458,917,410 is: 17,427,396,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,413,068 : 7,458,917,410 = 7,458,917,410 : x
  2. Step 2: Convert to fraction form
    3,192,413,068/7,458,917,410 = 7,458,917,410/x
  3. Step 3: Cross multiply
    3,192,413,068x = 7,458,917,410 × 7,458,917,410
  4. Step 4: Simplify right side
    3,192,413,068x = 55,635,448,929,201,111,040
  5. Step 5: Solve for x
    x = 55,635,448,929,201,111,040/3,192,413,068
  6. Step 6: Final answer
    x = 17,427,396,688.38

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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.