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Finding the Third Proportional to 7,659,976 and 11,342,064

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Solution

The third proportional to 7,659,976 and 11,342,064 is: 16,794,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659,976 : 11,342,064 = 11,342,064 : x
  2. Step 2: Convert to fraction form
    7,659,976/11,342,064 = 11,342,064/x
  3. Step 3: Cross multiply
    7,659,976x = 11,342,064 × 11,342,064
  4. Step 4: Simplify right side
    7,659,976x = 128,642,415,780,096
  5. Step 5: Solve for x
    x = 128,642,415,780,096/7,659,976
  6. Step 6: Final answer
    x = 16,794,101.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.