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Finding the Third Proportional to 4,119,048 and 8,524,512

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Solution

The third proportional to 4,119,048 and 8,524,512 is: 17,641,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119,048 : 8,524,512 = 8,524,512 : x
  2. Step 2: Convert to fraction form
    4,119,048/8,524,512 = 8,524,512/x
  3. Step 3: Cross multiply
    4,119,048x = 8,524,512 × 8,524,512
  4. Step 4: Simplify right side
    4,119,048x = 72,667,304,838,144
  5. Step 5: Solve for x
    x = 72,667,304,838,144/4,119,048
  6. Step 6: Final answer
    x = 17,641,771.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.