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Finding the Third Proportional to 17,824,092 and 25,985,034

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Solution

The third proportional to 17,824,092 and 25,985,034 is: 37,882,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824,092 : 25,985,034 = 25,985,034 : x
  2. Step 2: Convert to fraction form
    17,824,092/25,985,034 = 25,985,034/x
  3. Step 3: Cross multiply
    17,824,092x = 25,985,034 × 25,985,034
  4. Step 4: Simplify right side
    17,824,092x = 675,221,991,981,156
  5. Step 5: Solve for x
    x = 675,221,991,981,156/17,824,092
  6. Step 6: Final answer
    x = 37,882,546.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.