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Finding the Third Proportional to 7,981,809 and 17,508,744

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Solution

The third proportional to 7,981,809 and 17,508,744 is: 38,406,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981,809 : 17,508,744 = 17,508,744 : x
  2. Step 2: Convert to fraction form
    7,981,809/17,508,744 = 17,508,744/x
  3. Step 3: Cross multiply
    7,981,809x = 17,508,744 × 17,508,744
  4. Step 4: Simplify right side
    7,981,809x = 306,556,116,457,536
  5. Step 5: Solve for x
    x = 306,556,116,457,536/7,981,809
  6. Step 6: Final answer
    x = 38,406,846.93

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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.