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Finding the Third Proportional to 33,649,112 and 73,203,124

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Solution

The third proportional to 33,649,112 and 73,203,124 is: 159,252,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,112 : 73,203,124 = 73,203,124 : x
  2. Step 2: Convert to fraction form
    33,649,112/73,203,124 = 73,203,124/x
  3. Step 3: Cross multiply
    33,649,112x = 73,203,124 × 73,203,124
  4. Step 4: Simplify right side
    33,649,112x = 5,358,697,363,359,376
  5. Step 5: Solve for x
    x = 5,358,697,363,359,376/33,649,112
  6. Step 6: Final answer
    x = 159,252,266.85

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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.