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Finding the Third Proportional to 33,652,239.75 and 73,200,696.75

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Solution

The third proportional to 33,652,239.75 and 73,200,696.75 is: 159,226,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652,239.75 : 73,200,696.75 = 73,200,696.75 : x
  2. Step 2: Convert to fraction form
    33,652,239.75/73,200,696.75 = 73,200,696.75/x
  3. Step 3: Cross multiply
    33,652,239.75x = 73,200,696.75 × 73,200,696.75
  4. Step 4: Simplify right side
    33,652,239.75x = 5,358,342,004,685,461
  5. Step 5: Solve for x
    x = 5,358,342,004,685,461/33,652,239.75
  6. Step 6: Final answer
    x = 159,226,905.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.