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Finding the Third Proportional to 682,092,319 and 1,479,957,182

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Solution

The third proportional to 682,092,319 and 1,479,957,182 is: 3,211,109,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,092,319 : 1,479,957,182 = 1,479,957,182 : x
  2. Step 2: Convert to fraction form
    682,092,319/1,479,957,182 = 1,479,957,182/x
  3. Step 3: Cross multiply
    682,092,319x = 1,479,957,182 × 1,479,957,182
  4. Step 4: Simplify right side
    682,092,319x = 2,190,273,260,553,381,120
  5. Step 5: Solve for x
    x = 2,190,273,260,553,381,120/682,092,319
  6. Step 6: Final answer
    x = 3,211,109,698.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.