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Finding the Third Proportional to 11,761,950 and 25,478,679

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Solution

The third proportional to 11,761,950 and 25,478,679 is: 55,191,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,950 : 25,478,679 = 25,478,679 : x
  2. Step 2: Convert to fraction form
    11,761,950/25,478,679 = 25,478,679/x
  3. Step 3: Cross multiply
    11,761,950x = 25,478,679 × 25,478,679
  4. Step 4: Simplify right side
    11,761,950x = 649,163,083,585,041
  5. Step 5: Solve for x
    x = 649,163,083,585,041/11,761,950
  6. Step 6: Final answer
    x = 55,191,790.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.