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Finding the Third Proportional to 594,217,612,864 and 1,305,170,982,609

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Solution

The third proportional to 594,217,612,864 and 1,305,170,982,609 is: 2,866,746,553,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,217,612,864 : 1,305,170,982,609 = 1,305,170,982,609 : x
  2. Step 2: Convert to fraction form
    594,217,612,864/1,305,170,982,609 = 1,305,170,982,609/x
  3. Step 3: Cross multiply
    594,217,612,864x = 1,305,170,982,609 × 1,305,170,982,609
  4. Step 4: Simplify right side
    594,217,612,864x = 1,703,471,293,844,542,596,317,184
  5. Step 5: Solve for x
    x = 1,703,471,293,844,542,596,317,184/594,217,612,864
  6. Step 6: Final answer
    x = 2,866,746,553,731.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.