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Finding the Third Proportional to 8,238,600 and 17,941,824

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Solution

The third proportional to 8,238,600 and 17,941,824 is: 39,073,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238,600 : 17,941,824 = 17,941,824 : x
  2. Step 2: Convert to fraction form
    8,238,600/17,941,824 = 17,941,824/x
  3. Step 3: Cross multiply
    8,238,600x = 17,941,824 × 17,941,824
  4. Step 4: Simplify right side
    8,238,600x = 321,909,048,446,976
  5. Step 5: Solve for x
    x = 321,909,048,446,976/8,238,600
  6. Step 6: Final answer
    x = 39,073,270.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.