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Finding the Third Proportional to 8,260,666 and 17,894,245

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Solution

The third proportional to 8,260,666 and 17,894,245 is: 38,762,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,666 : 17,894,245 = 17,894,245 : x
  2. Step 2: Convert to fraction form
    8,260,666/17,894,245 = 17,894,245/x
  3. Step 3: Cross multiply
    8,260,666x = 17,894,245 × 17,894,245
  4. Step 4: Simplify right side
    8,260,666x = 320,204,004,120,025
  5. Step 5: Solve for x
    x = 320,204,004,120,025/8,260,666
  6. Step 6: Final answer
    x = 38,762,492.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.