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Finding the Third Proportional to 23,089,851 and 50,198,638

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Solution

The third proportional to 23,089,851 and 50,198,638 is: 109,134,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089,851 : 50,198,638 = 50,198,638 : x
  2. Step 2: Convert to fraction form
    23,089,851/50,198,638 = 50,198,638/x
  3. Step 3: Cross multiply
    23,089,851x = 50,198,638 × 50,198,638
  4. Step 4: Simplify right side
    23,089,851x = 2,519,903,257,055,044
  5. Step 5: Solve for x
    x = 2,519,903,257,055,044/23,089,851
  6. Step 6: Final answer
    x = 109,134,669.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.