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Finding the Third Proportional to 5,340,960 and 11,876,064

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Solution

The third proportional to 5,340,960 and 11,876,064 is: 26,407,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340,960 : 11,876,064 = 11,876,064 : x
  2. Step 2: Convert to fraction form
    5,340,960/11,876,064 = 11,876,064/x
  3. Step 3: Cross multiply
    5,340,960x = 11,876,064 × 11,876,064
  4. Step 4: Simplify right side
    5,340,960x = 141,040,896,132,096
  5. Step 5: Solve for x
    x = 141,040,896,132,096/5,340,960
  6. Step 6: Final answer
    x = 26,407,405.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.