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Finding the Third Proportional to 33,948,621 and 69,466,041

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Solution

The third proportional to 33,948,621 and 69,466,041 is: 142,142,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948,621 : 69,466,041 = 69,466,041 : x
  2. Step 2: Convert to fraction form
    33,948,621/69,466,041 = 69,466,041/x
  3. Step 3: Cross multiply
    33,948,621x = 69,466,041 × 69,466,041
  4. Step 4: Simplify right side
    33,948,621x = 4,825,530,852,213,681
  5. Step 5: Solve for x
    x = 4,825,530,852,213,681/33,948,621
  6. Step 6: Final answer
    x = 142,142,175.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.