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Finding the Third Proportional to 717,917,240 and 1,561,620,992

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Solution

The third proportional to 717,917,240 and 1,561,620,992 is: 3,396,854,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,917,240 : 1,561,620,992 = 1,561,620,992 : x
  2. Step 2: Convert to fraction form
    717,917,240/1,561,620,992 = 1,561,620,992/x
  3. Step 3: Cross multiply
    717,917,240x = 1,561,620,992 × 1,561,620,992
  4. Step 4: Simplify right side
    717,917,240x = 2,438,660,122,655,064,064
  5. Step 5: Solve for x
    x = 2,438,660,122,655,064,064/717,917,240
  6. Step 6: Final answer
    x = 3,396,854,103.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.