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Finding the Third Proportional to 33,042,972 and 46,449,629

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Solution

The third proportional to 33,042,972 and 46,449,629 is: 65,295,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042,972 : 46,449,629 = 46,449,629 : x
  2. Step 2: Convert to fraction form
    33,042,972/46,449,629 = 46,449,629/x
  3. Step 3: Cross multiply
    33,042,972x = 46,449,629 × 46,449,629
  4. Step 4: Simplify right side
    33,042,972x = 2,157,568,034,237,641
  5. Step 5: Solve for x
    x = 2,157,568,034,237,641/33,042,972
  6. Step 6: Final answer
    x = 65,295,822.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.