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Finding the Third Proportional to 12,632,576 and 27,784,000

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Solution

The third proportional to 12,632,576 and 27,784,000 is: 61,107,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632,576 : 27,784,000 = 27,784,000 : x
  2. Step 2: Convert to fraction form
    12,632,576/27,784,000 = 27,784,000/x
  3. Step 3: Cross multiply
    12,632,576x = 27,784,000 × 27,784,000
  4. Step 4: Simplify right side
    12,632,576x = 771,950,656,000,000
  5. Step 5: Solve for x
    x = 771,950,656,000,000/12,632,576
  6. Step 6: Final answer
    x = 61,107,936.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.