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Finding the Third Proportional to 26,096,256 and 54,571,968

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Solution

The third proportional to 26,096,256 and 54,571,968 is: 114,119,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096,256 : 54,571,968 = 54,571,968 : x
  2. Step 2: Convert to fraction form
    26,096,256/54,571,968 = 54,571,968/x
  3. Step 3: Cross multiply
    26,096,256x = 54,571,968 × 54,571,968
  4. Step 4: Simplify right side
    26,096,256x = 2,978,099,691,393,024
  5. Step 5: Solve for x
    x = 2,978,099,691,393,024/26,096,256
  6. Step 6: Final answer
    x = 114,119,806.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.