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Finding the Third Proportional to 717,391,825,019 and 1,581,010,955,035

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Solution

The third proportional to 717,391,825,019 and 1,581,010,955,035 is: 3,484,282,302,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,391,825,019 : 1,581,010,955,035 = 1,581,010,955,035 : x
  2. Step 2: Convert to fraction form
    717,391,825,019/1,581,010,955,035 = 1,581,010,955,035/x
  3. Step 3: Cross multiply
    717,391,825,019x = 1,581,010,955,035 × 1,581,010,955,035
  4. Step 4: Simplify right side
    717,391,825,019x = 2,499,595,639,940,682,986,029,056
  5. Step 5: Solve for x
    x = 2,499,595,639,940,682,986,029,056/717,391,825,019
  6. Step 6: Final answer
    x = 3,484,282,302,595.91

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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.