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Finding the Third Proportional to 33,649,215.50 and 73,203,331.50

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Solution

The third proportional to 33,649,215.50 and 73,203,331.50 is: 159,252,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,215.50 : 73,203,331.50 = 73,203,331.50 : x
  2. Step 2: Convert to fraction form
    33,649,215.50/73,203,331.50 = 73,203,331.50/x
  3. Step 3: Cross multiply
    33,649,215.50x = 73,203,331.50 × 73,203,331.50
  4. Step 4: Simplify right side
    33,649,215.50x = 5,358,727,742,698,892
  5. Step 5: Solve for x
    x = 5,358,727,742,698,892/33,649,215.50
  6. Step 6: Final answer
    x = 159,252,679.83

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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.