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Finding the Third Proportional to 11,250,144 and 23,297,824

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Solution

The third proportional to 11,250,144 and 23,297,824 is: 48,247,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250,144 : 23,297,824 = 23,297,824 : x
  2. Step 2: Convert to fraction form
    11,250,144/23,297,824 = 23,297,824/x
  3. Step 3: Cross multiply
    11,250,144x = 23,297,824 × 23,297,824
  4. Step 4: Simplify right side
    11,250,144x = 542,788,603,134,976
  5. Step 5: Solve for x
    x = 542,788,603,134,976/11,250,144
  6. Step 6: Final answer
    x = 48,247,258.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.