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Finding the Third Proportional to 2,250,608,540,323.60 and 3,036,599,351,493.60

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Solution

The third proportional to 2,250,608,540,323.60 and 3,036,599,351,493.60 is: 4,097,085,502,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250,608,540,323.60 : 3,036,599,351,493.60 = 3,036,599,351,493.60 : x
  2. Step 2: Convert to fraction form
    2,250,608,540,323.60/3,036,599,351,493.60 = 3,036,599,351,493.60/x
  3. Step 3: Cross multiply
    2,250,608,540,323.60x = 3,036,599,351,493.60 × 3,036,599,351,493.60
  4. Step 4: Simplify right side
    2,250,608,540,323.60x = 9,220,935,621,491,352,609,488,896
  5. Step 5: Solve for x
    x = 9,220,935,621,491,352,609,488,896/2,250,608,540,323.60
  6. Step 6: Final answer
    x = 4,097,085,502,112.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.