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Finding the Third Proportional to 5,299,941 and 11,439,204

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Solution

The third proportional to 5,299,941 and 11,439,204 is: 24,689,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,941 : 11,439,204 = 11,439,204 : x
  2. Step 2: Convert to fraction form
    5,299,941/11,439,204 = 11,439,204/x
  3. Step 3: Cross multiply
    5,299,941x = 11,439,204 × 11,439,204
  4. Step 4: Simplify right side
    5,299,941x = 130,855,388,153,616
  5. Step 5: Solve for x
    x = 130,855,388,153,616/5,299,941
  6. Step 6: Final answer
    x = 24,689,970.73

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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.