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Finding the Third Proportional to 5,116,771 and 11,194,908

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Solution

The third proportional to 5,116,771 and 11,194,908 is: 24,493,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116,771 : 11,194,908 = 11,194,908 : x
  2. Step 2: Convert to fraction form
    5,116,771/11,194,908 = 11,194,908/x
  3. Step 3: Cross multiply
    5,116,771x = 11,194,908 × 11,194,908
  4. Step 4: Simplify right side
    5,116,771x = 125,325,965,128,464
  5. Step 5: Solve for x
    x = 125,325,965,128,464/5,116,771
  6. Step 6: Final answer
    x = 24,493,174.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.