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Finding the Third Proportional to 6,469,933 and 13,848,724

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Solution

The third proportional to 6,469,933 and 13,848,724 is: 29,642,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,933 : 13,848,724 = 13,848,724 : x
  2. Step 2: Convert to fraction form
    6,469,933/13,848,724 = 13,848,724/x
  3. Step 3: Cross multiply
    6,469,933x = 13,848,724 × 13,848,724
  4. Step 4: Simplify right side
    6,469,933x = 191,787,156,428,176
  5. Step 5: Solve for x
    x = 191,787,156,428,176/6,469,933
  6. Step 6: Final answer
    x = 29,642,835.01

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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.