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Finding the Third Proportional to 2,161,868 and 5,004,198

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Solution

The third proportional to 2,161,868 and 5,004,198 is: 11,583,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,868 : 5,004,198 = 5,004,198 : x
  2. Step 2: Convert to fraction form
    2,161,868/5,004,198 = 5,004,198/x
  3. Step 3: Cross multiply
    2,161,868x = 5,004,198 × 5,004,198
  4. Step 4: Simplify right side
    2,161,868x = 25,041,997,623,204
  5. Step 5: Solve for x
    x = 25,041,997,623,204/2,161,868
  6. Step 6: Final answer
    x = 11,583,499.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.