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Finding the Third Proportional to 33,954,824 and 73,651,697

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Solution

The third proportional to 33,954,824 and 73,651,697 is: 159,758,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954,824 : 73,651,697 = 73,651,697 : x
  2. Step 2: Convert to fraction form
    33,954,824/73,651,697 = 73,651,697/x
  3. Step 3: Cross multiply
    33,954,824x = 73,651,697 × 73,651,697
  4. Step 4: Simplify right side
    33,954,824x = 5,424,572,470,979,809
  5. Step 5: Solve for x
    x = 5,424,572,470,979,809/33,954,824
  6. Step 6: Final answer
    x = 159,758,521.23

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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.