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Finding the Third Proportional to 8,039,347 and 17,524,166

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Solution

The third proportional to 8,039,347 and 17,524,166 is: 38,199,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039,347 : 17,524,166 = 17,524,166 : x
  2. Step 2: Convert to fraction form
    8,039,347/17,524,166 = 17,524,166/x
  3. Step 3: Cross multiply
    8,039,347x = 17,524,166 × 17,524,166
  4. Step 4: Simplify right side
    8,039,347x = 307,096,393,995,556
  5. Step 5: Solve for x
    x = 307,096,393,995,556/8,039,347
  6. Step 6: Final answer
    x = 38,199,171.40

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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.