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Finding the Third Proportional to 3,857,833 and 8,247,134

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Solution

The third proportional to 3,857,833 and 8,247,134 is: 17,630,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,833 : 8,247,134 = 8,247,134 : x
  2. Step 2: Convert to fraction form
    3,857,833/8,247,134 = 8,247,134/x
  3. Step 3: Cross multiply
    3,857,833x = 8,247,134 × 8,247,134
  4. Step 4: Simplify right side
    3,857,833x = 68,015,219,213,956
  5. Step 5: Solve for x
    x = 68,015,219,213,956/3,857,833
  6. Step 6: Final answer
    x = 17,630,420.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.