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Finding the Third Proportional to 23,515,296 and 50,389,824

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Solution

The third proportional to 23,515,296 and 50,389,824 is: 107,977,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515,296 : 50,389,824 = 50,389,824 : x
  2. Step 2: Convert to fraction form
    23,515,296/50,389,824 = 50,389,824/x
  3. Step 3: Cross multiply
    23,515,296x = 50,389,824 × 50,389,824
  4. Step 4: Simplify right side
    23,515,296x = 2,539,134,362,750,976
  5. Step 5: Solve for x
    x = 2,539,134,362,750,976/23,515,296
  6. Step 6: Final answer
    x = 107,977,988.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.