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Finding the Third Proportional to 33,316,268 and 74,288,676

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Solution

The third proportional to 33,316,268 and 74,288,676 is: 165,649,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316,268 : 74,288,676 = 74,288,676 : x
  2. Step 2: Convert to fraction form
    33,316,268/74,288,676 = 74,288,676/x
  3. Step 3: Cross multiply
    33,316,268x = 74,288,676 × 74,288,676
  4. Step 4: Simplify right side
    33,316,268x = 5,518,807,381,832,976
  5. Step 5: Solve for x
    x = 5,518,807,381,832,976/33,316,268
  6. Step 6: Final answer
    x = 165,649,027.13

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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.