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Finding the Third Proportional to 3,643,681.50 and 7,839,027

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Solution

The third proportional to 3,643,681.50 and 7,839,027 is: 16,864,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,681.50 : 7,839,027 = 7,839,027 : x
  2. Step 2: Convert to fraction form
    3,643,681.50/7,839,027 = 7,839,027/x
  3. Step 3: Cross multiply
    3,643,681.50x = 7,839,027 × 7,839,027
  4. Step 4: Simplify right side
    3,643,681.50x = 61,450,344,306,729
  5. Step 5: Solve for x
    x = 61,450,344,306,729/3,643,681.50
  6. Step 6: Final answer
    x = 16,864,905.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.