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Finding the Third Proportional to 5,582,198 and 12,019,744

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Solution

The third proportional to 5,582,198 and 12,019,744 is: 25,881,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582,198 : 12,019,744 = 12,019,744 : x
  2. Step 2: Convert to fraction form
    5,582,198/12,019,744 = 12,019,744/x
  3. Step 3: Cross multiply
    5,582,198x = 12,019,744 × 12,019,744
  4. Step 4: Simplify right side
    5,582,198x = 144,474,245,825,536
  5. Step 5: Solve for x
    x = 144,474,245,825,536/5,582,198
  6. Step 6: Final answer
    x = 25,881,247.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.