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Finding the Third Proportional to 5,535,980 and 11,981,744

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Solution

The third proportional to 5,535,980 and 11,981,744 is: 25,932,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535,980 : 11,981,744 = 11,981,744 : x
  2. Step 2: Convert to fraction form
    5,535,980/11,981,744 = 11,981,744/x
  3. Step 3: Cross multiply
    5,535,980x = 11,981,744 × 11,981,744
  4. Step 4: Simplify right side
    5,535,980x = 143,562,189,281,536
  5. Step 5: Solve for x
    x = 143,562,189,281,536/5,535,980
  6. Step 6: Final answer
    x = 25,932,570.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.