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Finding the Third Proportional to 8,216,992 and 18,322,304

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Solution

The third proportional to 8,216,992 and 18,322,304 is: 40,855,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,992 : 18,322,304 = 18,322,304 : x
  2. Step 2: Convert to fraction form
    8,216,992/18,322,304 = 18,322,304/x
  3. Step 3: Cross multiply
    8,216,992x = 18,322,304 × 18,322,304
  4. Step 4: Simplify right side
    8,216,992x = 335,706,823,868,416
  5. Step 5: Solve for x
    x = 335,706,823,868,416/8,216,992
  6. Step 6: Final answer
    x = 40,855,196.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.