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Finding the Third Proportional to 5,198,634 and 11,592,597

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Solution

The third proportional to 5,198,634 and 11,592,597 is: 25,850,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,634 : 11,592,597 = 11,592,597 : x
  2. Step 2: Convert to fraction form
    5,198,634/11,592,597 = 11,592,597/x
  3. Step 3: Cross multiply
    5,198,634x = 11,592,597 × 11,592,597
  4. Step 4: Simplify right side
    5,198,634x = 134,388,305,204,409
  5. Step 5: Solve for x
    x = 134,388,305,204,409/5,198,634
  6. Step 6: Final answer
    x = 25,850,695.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.