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Finding the Third Proportional to 12,800,824 and 27,992,744

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Solution

The third proportional to 12,800,824 and 27,992,744 is: 61,214,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800,824 : 27,992,744 = 27,992,744 : x
  2. Step 2: Convert to fraction form
    12,800,824/27,992,744 = 27,992,744/x
  3. Step 3: Cross multiply
    12,800,824x = 27,992,744 × 27,992,744
  4. Step 4: Simplify right side
    12,800,824x = 783,593,716,649,536
  5. Step 5: Solve for x
    x = 783,593,716,649,536/12,800,824
  6. Step 6: Final answer
    x = 61,214,318.44

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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.