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Finding the Third Proportional to 6,469,939 and 13,848,736

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Solution

The third proportional to 6,469,939 and 13,848,736 is: 29,642,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,939 : 13,848,736 = 13,848,736 : x
  2. Step 2: Convert to fraction form
    6,469,939/13,848,736 = 13,848,736/x
  3. Step 3: Cross multiply
    6,469,939x = 13,848,736 × 13,848,736
  4. Step 4: Simplify right side
    6,469,939x = 191,787,488,797,696
  5. Step 5: Solve for x
    x = 191,787,488,797,696/6,469,939
  6. Step 6: Final answer
    x = 29,642,858.89

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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.