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Finding the Third Proportional to 34,580,128 and 80,046,768

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Solution

The third proportional to 34,580,128 and 80,046,768 is: 185,293,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580,128 : 80,046,768 = 80,046,768 : x
  2. Step 2: Convert to fraction form
    34,580,128/80,046,768 = 80,046,768/x
  3. Step 3: Cross multiply
    34,580,128x = 80,046,768 × 80,046,768
  4. Step 4: Simplify right side
    34,580,128x = 6,407,485,067,245,824
  5. Step 5: Solve for x
    x = 6,407,485,067,245,824/34,580,128
  6. Step 6: Final answer
    x = 185,293,850.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.