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Finding the Third Proportional to 217,214,041,754 and 467,625,150,724

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Solution

The third proportional to 217,214,041,754 and 467,625,150,724 is: 1,006,717,981,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,214,041,754 : 467,625,150,724 = 467,625,150,724 : x
  2. Step 2: Convert to fraction form
    217,214,041,754/467,625,150,724 = 467,625,150,724/x
  3. Step 3: Cross multiply
    217,214,041,754x = 467,625,150,724 × 467,625,150,724
  4. Step 4: Simplify right side
    217,214,041,754x = 218,673,281,589,643,711,610,880
  5. Step 5: Solve for x
    x = 218,673,281,589,643,711,610,880/217,214,041,754
  6. Step 6: Final answer
    x = 1,006,717,981,139.07

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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.