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Finding the Third Proportional to 3,667,234.50 and 5,388,464.25

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Solution

The third proportional to 3,667,234.50 and 5,388,464.25 is: 7,917,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667,234.50 : 5,388,464.25 = 5,388,464.25 : x
  2. Step 2: Convert to fraction form
    3,667,234.50/5,388,464.25 = 5,388,464.25/x
  3. Step 3: Cross multiply
    3,667,234.50x = 5,388,464.25 × 5,388,464.25
  4. Step 4: Simplify right side
    3,667,234.50x = 29,035,546,973,528.06
  5. Step 5: Solve for x
    x = 29,035,546,973,528.06/3,667,234.50
  6. Step 6: Final answer
    x = 7,917,559.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.