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Finding the Third Proportional to 9,995,535,568,858 and 20,272,122,870,847

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Solution

The third proportional to 9,995,535,568,858 and 20,272,122,870,847 is: 41,114,251,743,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995,535,568,858 : 20,272,122,870,847 = 20,272,122,870,847 : x
  2. Step 2: Convert to fraction form
    9,995,535,568,858/20,272,122,870,847 = 20,272,122,870,847/x
  3. Step 3: Cross multiply
    9,995,535,568,858x = 20,272,122,870,847 × 20,272,122,870,847
  4. Step 4: Simplify right side
    9,995,535,568,858x = 410,958,965,690,718,010,893,926,400
  5. Step 5: Solve for x
    x = 410,958,965,690,718,010,893,926,400/9,995,535,568,858
  6. Step 6: Final answer
    x = 41,114,251,743,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.