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Finding the Third Proportional to 2,361,648 and 5,150,634

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Solution

The third proportional to 2,361,648 and 5,150,634 is: 11,233,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,648 : 5,150,634 = 5,150,634 : x
  2. Step 2: Convert to fraction form
    2,361,648/5,150,634 = 5,150,634/x
  3. Step 3: Cross multiply
    2,361,648x = 5,150,634 × 5,150,634
  4. Step 4: Simplify right side
    2,361,648x = 26,529,030,601,956
  5. Step 5: Solve for x
    x = 26,529,030,601,956/2,361,648
  6. Step 6: Final answer
    x = 11,233,270.41

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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.