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Finding the Third Proportional to 33,439,025 and 47,089,220

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Solution

The third proportional to 33,439,025 and 47,089,220 is: 66,311,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,439,025 : 47,089,220 = 47,089,220 : x
  2. Step 2: Convert to fraction form
    33,439,025/47,089,220 = 47,089,220/x
  3. Step 3: Cross multiply
    33,439,025x = 47,089,220 × 47,089,220
  4. Step 4: Simplify right side
    33,439,025x = 2,217,394,640,208,400
  5. Step 5: Solve for x
    x = 2,217,394,640,208,400/33,439,025
  6. Step 6: Final answer
    x = 66,311,581.76

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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.