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Finding the Third Proportional to 6,469,929 and 13,848,732

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Solution

The third proportional to 6,469,929 and 13,848,732 is: 29,642,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,929 : 13,848,732 = 13,848,732 : x
  2. Step 2: Convert to fraction form
    6,469,929/13,848,732 = 13,848,732/x
  3. Step 3: Cross multiply
    6,469,929x = 13,848,732 × 13,848,732
  4. Step 4: Simplify right side
    6,469,929x = 191,787,378,007,824
  5. Step 5: Solve for x
    x = 191,787,378,007,824/6,469,929
  6. Step 6: Final answer
    x = 29,642,887.58

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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.