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Finding the Third Proportional to 33,259,534.75 and 71,115,505.50

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Solution

The third proportional to 33,259,534.75 and 71,115,505.50 is: 152,059,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,259,534.75 : 71,115,505.50 = 71,115,505.50 : x
  2. Step 2: Convert to fraction form
    33,259,534.75/71,115,505.50 = 71,115,505.50/x
  3. Step 3: Cross multiply
    33,259,534.75x = 71,115,505.50 × 71,115,505.50
  4. Step 4: Simplify right side
    33,259,534.75x = 5,057,415,122,520,530
  5. Step 5: Solve for x
    x = 5,057,415,122,520,530/33,259,534.75
  6. Step 6: Final answer
    x = 152,059,106.07

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