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Finding the Third Proportional to 23,555,724 and 51,761,296

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Solution

The third proportional to 23,555,724 and 51,761,296 is: 113,740,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,555,724 : 51,761,296 = 51,761,296 : x
  2. Step 2: Convert to fraction form
    23,555,724/51,761,296 = 51,761,296/x
  3. Step 3: Cross multiply
    23,555,724x = 51,761,296 × 51,761,296
  4. Step 4: Simplify right side
    23,555,724x = 2,679,231,763,599,616
  5. Step 5: Solve for x
    x = 2,679,231,763,599,616/23,555,724
  6. Step 6: Final answer
    x = 113,740,157.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.