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Finding the Third Proportional to 33,984,085.50 and 74,395,489.50

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Solution

The third proportional to 33,984,085.50 and 74,395,489.50 is: 162,861,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984,085.50 : 74,395,489.50 = 74,395,489.50 : x
  2. Step 2: Convert to fraction form
    33,984,085.50/74,395,489.50 = 74,395,489.50/x
  3. Step 3: Cross multiply
    33,984,085.50x = 74,395,489.50 × 74,395,489.50
  4. Step 4: Simplify right side
    33,984,085.50x = 5,534,688,857,944,610
  5. Step 5: Solve for x
    x = 5,534,688,857,944,610/33,984,085.50
  6. Step 6: Final answer
    x = 162,861,197.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.