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Finding the Third Proportional to 6,324,964.50 and 13,868,817

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Solution

The third proportional to 6,324,964.50 and 13,868,817 is: 30,410,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324,964.50 : 13,868,817 = 13,868,817 : x
  2. Step 2: Convert to fraction form
    6,324,964.50/13,868,817 = 13,868,817/x
  3. Step 3: Cross multiply
    6,324,964.50x = 13,868,817 × 13,868,817
  4. Step 4: Simplify right side
    6,324,964.50x = 192,344,084,979,489
  5. Step 5: Solve for x
    x = 192,344,084,979,489/6,324,964.50
  6. Step 6: Final answer
    x = 30,410,302.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.