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Finding the Third Proportional to 5,857,227 and 11,999,898

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Solution

The third proportional to 5,857,227 and 11,999,898 is: 24,584,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857,227 : 11,999,898 = 11,999,898 : x
  2. Step 2: Convert to fraction form
    5,857,227/11,999,898 = 11,999,898/x
  3. Step 3: Cross multiply
    5,857,227x = 11,999,898 × 11,999,898
  4. Step 4: Simplify right side
    5,857,227x = 143,997,552,010,404
  5. Step 5: Solve for x
    x = 143,997,552,010,404/5,857,227
  6. Step 6: Final answer
    x = 24,584,594.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.