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Finding the Third Proportional to 3,851,824 and 8,320,384

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Solution

The third proportional to 3,851,824 and 8,320,384 is: 17,972,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851,824 : 8,320,384 = 8,320,384 : x
  2. Step 2: Convert to fraction form
    3,851,824/8,320,384 = 8,320,384/x
  3. Step 3: Cross multiply
    3,851,824x = 8,320,384 × 8,320,384
  4. Step 4: Simplify right side
    3,851,824x = 69,228,789,907,456
  5. Step 5: Solve for x
    x = 69,228,789,907,456/3,851,824
  6. Step 6: Final answer
    x = 17,972,988.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.