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Finding the Third Proportional to 6,092,433 and 13,380,678

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Solution

The third proportional to 6,092,433 and 13,380,678 is: 29,387,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092,433 : 13,380,678 = 13,380,678 : x
  2. Step 2: Convert to fraction form
    6,092,433/13,380,678 = 13,380,678/x
  3. Step 3: Cross multiply
    6,092,433x = 13,380,678 × 13,380,678
  4. Step 4: Simplify right side
    6,092,433x = 179,042,543,739,684
  5. Step 5: Solve for x
    x = 179,042,543,739,684/6,092,433
  6. Step 6: Final answer
    x = 29,387,691.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.