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Finding the Third Proportional to 7,829,686 and 11,978,524.50

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Solution

The third proportional to 7,829,686 and 11,978,524.50 is: 18,325,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,686 : 11,978,524.50 = 11,978,524.50 : x
  2. Step 2: Convert to fraction form
    7,829,686/11,978,524.50 = 11,978,524.50/x
  3. Step 3: Cross multiply
    7,829,686x = 11,978,524.50 × 11,978,524.50
  4. Step 4: Simplify right side
    7,829,686x = 143,485,049,197,100.25
  5. Step 5: Solve for x
    x = 143,485,049,197,100.25/7,829,686
  6. Step 6: Final answer
    x = 18,325,773.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.