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Finding the Third Proportional to 5,933,936 and 12,707,672

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Solution

The third proportional to 5,933,936 and 12,707,672 is: 27,213,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933,936 : 12,707,672 = 12,707,672 : x
  2. Step 2: Convert to fraction form
    5,933,936/12,707,672 = 12,707,672/x
  3. Step 3: Cross multiply
    5,933,936x = 12,707,672 × 12,707,672
  4. Step 4: Simplify right side
    5,933,936x = 161,484,927,659,584
  5. Step 5: Solve for x
    x = 161,484,927,659,584/5,933,936
  6. Step 6: Final answer
    x = 27,213,796.65

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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.