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Finding the Third Proportional to 3,736,880 and 8,171,728

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Solution

The third proportional to 3,736,880 and 8,171,728 is: 17,869,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736,880 : 8,171,728 = 8,171,728 : x
  2. Step 2: Convert to fraction form
    3,736,880/8,171,728 = 8,171,728/x
  3. Step 3: Cross multiply
    3,736,880x = 8,171,728 × 8,171,728
  4. Step 4: Simplify right side
    3,736,880x = 66,777,138,505,984
  5. Step 5: Solve for x
    x = 66,777,138,505,984/3,736,880
  6. Step 6: Final answer
    x = 17,869,757.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.