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Finding the Third Proportional to 5,497,980 and 11,373,096

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Solution

The third proportional to 5,497,980 and 11,373,096 is: 23,526,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497,980 : 11,373,096 = 11,373,096 : x
  2. Step 2: Convert to fraction form
    5,497,980/11,373,096 = 11,373,096/x
  3. Step 3: Cross multiply
    5,497,980x = 11,373,096 × 11,373,096
  4. Step 4: Simplify right side
    5,497,980x = 129,347,312,625,216
  5. Step 5: Solve for x
    x = 129,347,312,625,216/5,497,980
  6. Step 6: Final answer
    x = 23,526,333.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.