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Finding the Third Proportional to 3,786,060 and 8,214,288

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Solution

The third proportional to 3,786,060 and 8,214,288 is: 17,821,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786,060 : 8,214,288 = 8,214,288 : x
  2. Step 2: Convert to fraction form
    3,786,060/8,214,288 = 8,214,288/x
  3. Step 3: Cross multiply
    3,786,060x = 8,214,288 × 8,214,288
  4. Step 4: Simplify right side
    3,786,060x = 67,474,527,346,944
  5. Step 5: Solve for x
    x = 67,474,527,346,944/3,786,060
  6. Step 6: Final answer
    x = 17,821,832.55

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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.