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Finding the Third Proportional to 6,693,424 and 13,782,992

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Solution

The third proportional to 6,693,424 and 13,782,992 is: 28,381,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693,424 : 13,782,992 = 13,782,992 : x
  2. Step 2: Convert to fraction form
    6,693,424/13,782,992 = 13,782,992/x
  3. Step 3: Cross multiply
    6,693,424x = 13,782,992 × 13,782,992
  4. Step 4: Simplify right side
    6,693,424x = 189,970,868,472,064
  5. Step 5: Solve for x
    x = 189,970,868,472,064/6,693,424
  6. Step 6: Final answer
    x = 28,381,717.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.