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Finding the Third Proportional to 1,814,253,849,800 and 3,887,286,236,448

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Solution

The third proportional to 1,814,253,849,800 and 3,887,286,236,448 is: 8,329,040,771,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,253,849,800 : 3,887,286,236,448 = 3,887,286,236,448 : x
  2. Step 2: Convert to fraction form
    1,814,253,849,800/3,887,286,236,448 = 3,887,286,236,448/x
  3. Step 3: Cross multiply
    1,814,253,849,800x = 3,887,286,236,448 × 3,887,286,236,448
  4. Step 4: Simplify right side
    1,814,253,849,800x = 15,110,994,284,078,055,288,733,696
  5. Step 5: Solve for x
    x = 15,110,994,284,078,055,288,733,696/1,814,253,849,800
  6. Step 6: Final answer
    x = 8,329,040,771,082.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.