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Finding the Third Proportional to 8,039,345 and 17,524,162

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Solution

The third proportional to 8,039,345 and 17,524,162 is: 38,199,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039,345 : 17,524,162 = 17,524,162 : x
  2. Step 2: Convert to fraction form
    8,039,345/17,524,162 = 17,524,162/x
  3. Step 3: Cross multiply
    8,039,345x = 17,524,162 × 17,524,162
  4. Step 4: Simplify right side
    8,039,345x = 307,096,253,802,244
  5. Step 5: Solve for x
    x = 307,096,253,802,244/8,039,345
  6. Step 6: Final answer
    x = 38,199,163.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.