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Finding the Third Proportional to 11,809,728 and 18,219,168

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Solution

The third proportional to 11,809,728 and 18,219,168 is: 28,107,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809,728 : 18,219,168 = 18,219,168 : x
  2. Step 2: Convert to fraction form
    11,809,728/18,219,168 = 18,219,168/x
  3. Step 3: Cross multiply
    11,809,728x = 18,219,168 × 18,219,168
  4. Step 4: Simplify right side
    11,809,728x = 331,938,082,612,224
  5. Step 5: Solve for x
    x = 331,938,082,612,224/11,809,728
  6. Step 6: Final answer
    x = 28,107,174.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.