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Finding the Third Proportional to 3,375,912,810,493.50 and 4,554,899,027,250.80

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Solution

The third proportional to 3,375,912,810,493.50 and 4,554,899,027,250.80 is: 6,145,628,253,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375,912,810,493.50 : 4,554,899,027,250.80 = 4,554,899,027,250.80 : x
  2. Step 2: Convert to fraction form
    3,375,912,810,493.50/4,554,899,027,250.80 = 4,554,899,027,250.80/x
  3. Step 3: Cross multiply
    3,375,912,810,493.50x = 4,554,899,027,250.80 × 4,554,899,027,250.80
  4. Step 4: Simplify right side
    3,375,912,810,493.50x = 20,747,105,148,450,283,907,448,832
  5. Step 5: Solve for x
    x = 20,747,105,148,450,283,907,448,832/3,375,912,810,493.50
  6. Step 6: Final answer
    x = 6,145,628,253,182.71

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