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Finding the Third Proportional to 33,649,364.25 and 73,041,590.25

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Solution

The third proportional to 33,649,364.25 and 73,041,590.25 is: 158,549,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,364.25 : 73,041,590.25 = 73,041,590.25 : x
  2. Step 2: Convert to fraction form
    33,649,364.25/73,041,590.25 = 73,041,590.25/x
  3. Step 3: Cross multiply
    33,649,364.25x = 73,041,590.25 × 73,041,590.25
  4. Step 4: Simplify right side
    33,649,364.25x = 5,335,073,906,248,895
  5. Step 5: Solve for x
    x = 5,335,073,906,248,895/33,649,364.25
  6. Step 6: Final answer
    x = 158,549,025.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.