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Finding the Third Proportional to 33,984,366.75 and 73,383,828.75

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Solution

The third proportional to 33,984,366.75 and 73,383,828.75 is: 158,460,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984,366.75 : 73,383,828.75 = 73,383,828.75 : x
  2. Step 2: Convert to fraction form
    33,984,366.75/73,383,828.75 = 73,383,828.75/x
  3. Step 3: Cross multiply
    33,984,366.75x = 73,383,828.75 × 73,383,828.75
  4. Step 4: Simplify right side
    33,984,366.75x = 5,385,186,322,009,327
  5. Step 5: Solve for x
    x = 5,385,186,322,009,327/33,984,366.75
  6. Step 6: Final answer
    x = 158,460,693.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.