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Finding the Third Proportional to 5,151,014 and 11,198,838

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Solution

The third proportional to 5,151,014 and 11,198,838 is: 24,347,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151,014 : 11,198,838 = 11,198,838 : x
  2. Step 2: Convert to fraction form
    5,151,014/11,198,838 = 11,198,838/x
  3. Step 3: Cross multiply
    5,151,014x = 11,198,838 × 11,198,838
  4. Step 4: Simplify right side
    5,151,014x = 125,413,972,550,244
  5. Step 5: Solve for x
    x = 125,413,972,550,244/5,151,014
  6. Step 6: Final answer
    x = 24,347,433.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.