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Finding the Third Proportional to 217,214,041,756 and 467,625,150,728

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Solution

The third proportional to 217,214,041,756 and 467,625,150,728 is: 1,006,717,981,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,214,041,756 : 467,625,150,728 = 467,625,150,728 : x
  2. Step 2: Convert to fraction form
    217,214,041,756/467,625,150,728 = 467,625,150,728/x
  3. Step 3: Cross multiply
    217,214,041,756x = 467,625,150,728 × 467,625,150,728
  4. Step 4: Simplify right side
    217,214,041,756x = 218,673,281,593,384,728,788,992
  5. Step 5: Solve for x
    x = 218,673,281,593,384,728,788,992/217,214,041,756
  6. Step 6: Final answer
    x = 1,006,717,981,147.02

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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.