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Finding the Third Proportional to 6,469,933.13 and 13,848,724.50

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Solution

The third proportional to 6,469,933.13 and 13,848,724.50 is: 29,642,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,933.13 : 13,848,724.50 = 13,848,724.50 : x
  2. Step 2: Convert to fraction form
    6,469,933.13/13,848,724.50 = 13,848,724.50/x
  3. Step 3: Cross multiply
    6,469,933.13x = 13,848,724.50 × 13,848,724.50
  4. Step 4: Simplify right side
    6,469,933.13x = 191,787,170,276,900.25
  5. Step 5: Solve for x
    x = 191,787,170,276,900.25/6,469,933.13
  6. Step 6: Final answer
    x = 29,642,836.58

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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.