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Finding the Third Proportional to 23,089,833 and 50,198,595

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Solution

The third proportional to 23,089,833 and 50,198,595 is: 109,134,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089,833 : 50,198,595 = 50,198,595 : x
  2. Step 2: Convert to fraction form
    23,089,833/50,198,595 = 50,198,595/x
  3. Step 3: Cross multiply
    23,089,833x = 50,198,595 × 50,198,595
  4. Step 4: Simplify right side
    23,089,833x = 2,519,898,939,974,025
  5. Step 5: Solve for x
    x = 2,519,898,939,974,025/23,089,833
  6. Step 6: Final answer
    x = 109,134,567.58

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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.