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Finding the Third Proportional to 12,198,978 and 26,287,443

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Solution

The third proportional to 12,198,978 and 26,287,443 is: 56,646,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198,978 : 26,287,443 = 26,287,443 : x
  2. Step 2: Convert to fraction form
    12,198,978/26,287,443 = 26,287,443/x
  3. Step 3: Cross multiply
    12,198,978x = 26,287,443 × 26,287,443
  4. Step 4: Simplify right side
    12,198,978x = 691,029,659,478,249
  5. Step 5: Solve for x
    x = 691,029,659,478,249/12,198,978
  6. Step 6: Final answer
    x = 56,646,520.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.