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Finding the Third Proportional to 717,010,655 and 1,542,983,307

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Solution

The third proportional to 717,010,655 and 1,542,983,307 is: 3,320,449,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,010,655 : 1,542,983,307 = 1,542,983,307 : x
  2. Step 2: Convert to fraction form
    717,010,655/1,542,983,307 = 1,542,983,307/x
  3. Step 3: Cross multiply
    717,010,655x = 1,542,983,307 × 1,542,983,307
  4. Step 4: Simplify right side
    717,010,655x = 2,380,797,485,680,656,384
  5. Step 5: Solve for x
    x = 2,380,797,485,680,656,384/717,010,655
  6. Step 6: Final answer
    x = 3,320,449,241.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.