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Finding the Third Proportional to 6,320,646 and 13,650,192

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Solution

The third proportional to 6,320,646 and 13,650,192 is: 29,479,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320,646 : 13,650,192 = 13,650,192 : x
  2. Step 2: Convert to fraction form
    6,320,646/13,650,192 = 13,650,192/x
  3. Step 3: Cross multiply
    6,320,646x = 13,650,192 × 13,650,192
  4. Step 4: Simplify right side
    6,320,646x = 186,327,741,636,864
  5. Step 5: Solve for x
    x = 186,327,741,636,864/6,320,646
  6. Step 6: Final answer
    x = 29,479,224.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.