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Finding the Third Proportional to 5,299,938 and 11,439,198

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Solution

The third proportional to 5,299,938 and 11,439,198 is: 24,689,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,938 : 11,439,198 = 11,439,198 : x
  2. Step 2: Convert to fraction form
    5,299,938/11,439,198 = 11,439,198/x
  3. Step 3: Cross multiply
    5,299,938x = 11,439,198 × 11,439,198
  4. Step 4: Simplify right side
    5,299,938x = 130,855,250,883,204
  5. Step 5: Solve for x
    x = 130,855,250,883,204/5,299,938
  6. Step 6: Final answer
    x = 24,689,958.80

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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.