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Finding the Third Proportional to 2,361,647 and 5,150,632

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Solution

The third proportional to 2,361,647 and 5,150,632 is: 11,233,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,647 : 5,150,632 = 5,150,632 : x
  2. Step 2: Convert to fraction form
    2,361,647/5,150,632 = 5,150,632/x
  3. Step 3: Cross multiply
    2,361,647x = 5,150,632 × 5,150,632
  4. Step 4: Simplify right side
    2,361,647x = 26,529,009,999,424
  5. Step 5: Solve for x
    x = 26,529,009,999,424/2,361,647
  6. Step 6: Final answer
    x = 11,233,266.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.