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Finding the Third Proportional to 5,654,689 and 12,206,198

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Solution

The third proportional to 5,654,689 and 12,206,198 is: 26,348,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654,689 : 12,206,198 = 12,206,198 : x
  2. Step 2: Convert to fraction form
    5,654,689/12,206,198 = 12,206,198/x
  3. Step 3: Cross multiply
    5,654,689x = 12,206,198 × 12,206,198
  4. Step 4: Simplify right side
    5,654,689x = 148,991,269,615,204
  5. Step 5: Solve for x
    x = 148,991,269,615,204/5,654,689
  6. Step 6: Final answer
    x = 26,348,269.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.