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Finding the Third Proportional to 32,404,422 and 76,493,694

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Solution

The third proportional to 32,404,422 and 76,493,694 is: 180,570,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404,422 : 76,493,694 = 76,493,694 : x
  2. Step 2: Convert to fraction form
    32,404,422/76,493,694 = 76,493,694/x
  3. Step 3: Cross multiply
    32,404,422x = 76,493,694 × 76,493,694
  4. Step 4: Simplify right side
    32,404,422x = 5,851,285,221,765,636
  5. Step 5: Solve for x
    x = 5,851,285,221,765,636/32,404,422
  6. Step 6: Final answer
    x = 180,570,578.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.