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Finding the Third Proportional to 33,316,393.50 and 74,288,947.50

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Solution

The third proportional to 33,316,393.50 and 74,288,947.50 is: 165,649,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316,393.50 : 74,288,947.50 = 74,288,947.50 : x
  2. Step 2: Convert to fraction form
    33,316,393.50/74,288,947.50 = 74,288,947.50/x
  3. Step 3: Cross multiply
    33,316,393.50x = 74,288,947.50 × 74,288,947.50
  4. Step 4: Simplify right side
    33,316,393.50x = 5,518,847,720,657,756
  5. Step 5: Solve for x
    x = 5,518,847,720,657,756/33,316,393.50
  6. Step 6: Final answer
    x = 165,649,613.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.