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Finding the Third Proportional to 33,649,101 and 73,203,102

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Solution

The third proportional to 33,649,101 and 73,203,102 is: 159,252,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,101 : 73,203,102 = 73,203,102 : x
  2. Step 2: Convert to fraction form
    33,649,101/73,203,102 = 73,203,102/x
  3. Step 3: Cross multiply
    33,649,101x = 73,203,102 × 73,203,102
  4. Step 4: Simplify right side
    33,649,101x = 5,358,694,142,422,404
  5. Step 5: Solve for x
    x = 5,358,694,142,422,404/33,649,101
  6. Step 6: Final answer
    x = 159,252,223.18

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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.