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Finding the Third Proportional to 8,184,150 and 11,379,406

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Solution

The third proportional to 8,184,150 and 11,379,406 is: 15,822,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184,150 : 11,379,406 = 11,379,406 : x
  2. Step 2: Convert to fraction form
    8,184,150/11,379,406 = 11,379,406/x
  3. Step 3: Cross multiply
    8,184,150x = 11,379,406 × 11,379,406
  4. Step 4: Simplify right side
    8,184,150x = 129,490,880,912,836
  5. Step 5: Solve for x
    x = 129,490,880,912,836/8,184,150
  6. Step 6: Final answer
    x = 15,822,153.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.