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Finding the Third Proportional to 815,288,229,884.02 and 1,773,716,738,135.80

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Solution

The third proportional to 815,288,229,884.02 and 1,773,716,738,135.80 is: 3,858,845,193,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,288,229,884.02 : 1,773,716,738,135.80 = 1,773,716,738,135.80 : x
  2. Step 2: Convert to fraction form
    815,288,229,884.02/1,773,716,738,135.80 = 1,773,716,738,135.80/x
  3. Step 3: Cross multiply
    815,288,229,884.02x = 1,773,716,738,135.80 × 1,773,716,738,135.80
  4. Step 4: Simplify right side
    815,288,229,884.02x = 3,146,071,067,143,102,288,363,520
  5. Step 5: Solve for x
    x = 3,146,071,067,143,102,288,363,520/815,288,229,884.02
  6. Step 6: Final answer
    x = 3,858,845,193,423.99

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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.