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Finding the Third Proportional to 3,941,824 and 8,498,924

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Solution

The third proportional to 3,941,824 and 8,498,924 is: 18,324,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941,824 : 8,498,924 = 8,498,924 : x
  2. Step 2: Convert to fraction form
    3,941,824/8,498,924 = 8,498,924/x
  3. Step 3: Cross multiply
    3,941,824x = 8,498,924 × 8,498,924
  4. Step 4: Simplify right side
    3,941,824x = 72,231,709,157,776
  5. Step 5: Solve for x
    x = 72,231,709,157,776/3,941,824
  6. Step 6: Final answer
    x = 18,324,437.91

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Why These Related Problems?

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