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Finding the Third Proportional to 5,099,868 and 11,096,976

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Solution

The third proportional to 5,099,868 and 11,096,976 is: 24,146,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099,868 : 11,096,976 = 11,096,976 : x
  2. Step 2: Convert to fraction form
    5,099,868/11,096,976 = 11,096,976/x
  3. Step 3: Cross multiply
    5,099,868x = 11,096,976 × 11,096,976
  4. Step 4: Simplify right side
    5,099,868x = 123,142,876,344,576
  5. Step 5: Solve for x
    x = 123,142,876,344,576/5,099,868
  6. Step 6: Final answer
    x = 24,146,286.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.