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Finding the Third Proportional to 33,954,820 and 73,651,689

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Solution

The third proportional to 33,954,820 and 73,651,689 is: 159,758,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954,820 : 73,651,689 = 73,651,689 : x
  2. Step 2: Convert to fraction form
    33,954,820/73,651,689 = 73,651,689/x
  3. Step 3: Cross multiply
    33,954,820x = 73,651,689 × 73,651,689
  4. Step 4: Simplify right side
    33,954,820x = 5,424,571,292,552,721
  5. Step 5: Solve for x
    x = 5,424,571,292,552,721/33,954,820
  6. Step 6: Final answer
    x = 159,758,505.35

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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.