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Finding the Third Proportional to 10,677,108 and 23,033,832

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Solution

The third proportional to 10,677,108 and 23,033,832 is: 49,691,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,108 : 23,033,832 = 23,033,832 : x
  2. Step 2: Convert to fraction form
    10,677,108/23,033,832 = 23,033,832/x
  3. Step 3: Cross multiply
    10,677,108x = 23,033,832 × 23,033,832
  4. Step 4: Simplify right side
    10,677,108x = 530,557,416,604,224
  5. Step 5: Solve for x
    x = 530,557,416,604,224/10,677,108
  6. Step 6: Final answer
    x = 49,691,116.42

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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.