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Finding the Third Proportional to 3,851,920 and 9,109,354

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Solution

The third proportional to 3,851,920 and 9,109,354 is: 21,542,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851,920 : 9,109,354 = 9,109,354 : x
  2. Step 2: Convert to fraction form
    3,851,920/9,109,354 = 9,109,354/x
  3. Step 3: Cross multiply
    3,851,920x = 9,109,354 × 9,109,354
  4. Step 4: Simplify right side
    3,851,920x = 82,980,330,297,316
  5. Step 5: Solve for x
    x = 82,980,330,297,316/3,851,920
  6. Step 6: Final answer
    x = 21,542,589.23

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.