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Finding the Third Proportional to 217,214,041,417 and 467,625,150,049

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Solution

The third proportional to 217,214,041,417 and 467,625,150,049 is: 1,006,717,979,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,214,041,417 : 467,625,150,049 = 467,625,150,049 : x
  2. Step 2: Convert to fraction form
    217,214,041,417/467,625,150,049 = 467,625,150,049/x
  3. Step 3: Cross multiply
    217,214,041,417x = 467,625,150,049 × 467,625,150,049
  4. Step 4: Simplify right side
    217,214,041,417x = 218,673,280,958,349,755,547,648
  5. Step 5: Solve for x
    x = 218,673,280,958,349,755,547,648/217,214,041,417
  6. Step 6: Final answer
    x = 1,006,717,979,794.63

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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.