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Finding the Third Proportional to 815,288,229,884.50 and 1,773,716,738,136.60

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Solution

The third proportional to 815,288,229,884.50 and 1,773,716,738,136.60 is: 3,858,845,193,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,288,229,884.50 : 1,773,716,738,136.60 = 1,773,716,738,136.60 : x
  2. Step 2: Convert to fraction form
    815,288,229,884.50/1,773,716,738,136.60 = 1,773,716,738,136.60/x
  3. Step 3: Cross multiply
    815,288,229,884.50x = 1,773,716,738,136.60 × 1,773,716,738,136.60
  4. Step 4: Simplify right side
    815,288,229,884.50x = 3,146,071,067,145,940,188,004,352
  5. Step 5: Solve for x
    x = 3,146,071,067,145,940,188,004,352/815,288,229,884.50
  6. Step 6: Final answer
    x = 3,858,845,193,425.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.