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Finding the Third Proportional to 3,597,363,198 and 8,021,876,796

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Solution

The third proportional to 3,597,363,198 and 8,021,876,796 is: 17,888,243,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597,363,198 : 8,021,876,796 = 8,021,876,796 : x
  2. Step 2: Convert to fraction form
    3,597,363,198/8,021,876,796 = 8,021,876,796/x
  3. Step 3: Cross multiply
    3,597,363,198x = 8,021,876,796 × 8,021,876,796
  4. Step 4: Simplify right side
    3,597,363,198x = 64,350,507,330,203,222,016
  5. Step 5: Solve for x
    x = 64,350,507,330,203,222,016/3,597,363,198
  6. Step 6: Final answer
    x = 17,888,243,079.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.