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Finding the Third Proportional to 265,251,003,053.62 and 576,976,726,568.25

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Solution

The third proportional to 265,251,003,053.62 and 576,976,726,568.25 is: 1,255,045,745,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,251,003,053.62 : 576,976,726,568.25 = 576,976,726,568.25 : x
  2. Step 2: Convert to fraction form
    265,251,003,053.62/576,976,726,568.25 = 576,976,726,568.25/x
  3. Step 3: Cross multiply
    265,251,003,053.62x = 576,976,726,568.25 × 576,976,726,568.25
  4. Step 4: Simplify right side
    265,251,003,053.62x = 332,902,143,001,413,099,192,320
  5. Step 5: Solve for x
    x = 332,902,143,001,413,099,192,320/265,251,003,053.62
  6. Step 6: Final answer
    x = 1,255,045,745,987.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.