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Finding the Third Proportional to 8,184,066 and 11,379,292

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Solution

The third proportional to 8,184,066 and 11,379,292 is: 15,821,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184,066 : 11,379,292 = 11,379,292 : x
  2. Step 2: Convert to fraction form
    8,184,066/11,379,292 = 11,379,292/x
  3. Step 3: Cross multiply
    8,184,066x = 11,379,292 × 11,379,292
  4. Step 4: Simplify right side
    8,184,066x = 129,488,286,421,264
  5. Step 5: Solve for x
    x = 129,488,286,421,264/8,184,066
  6. Step 6: Final answer
    x = 15,821,999.29

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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.