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Finding the Third Proportional to 33,439,024 and 47,089,218.50

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Solution

The third proportional to 33,439,024 and 47,089,218.50 is: 66,311,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,439,024 : 47,089,218.50 = 47,089,218.50 : x
  2. Step 2: Convert to fraction form
    33,439,024/47,089,218.50 = 47,089,218.50/x
  3. Step 3: Cross multiply
    33,439,024x = 47,089,218.50 × 47,089,218.50
  4. Step 4: Simplify right side
    33,439,024x = 2,217,394,498,940,742.25
  5. Step 5: Solve for x
    x = 2,217,394,498,940,742.25/33,439,024
  6. Step 6: Final answer
    x = 66,311,579.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.