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Finding the Third Proportional to 505,324,262,899 and 1,123,631,819,516

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Solution

The third proportional to 505,324,262,899 and 1,123,631,819,516 is: 2,498,491,678,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,324,262,899 : 1,123,631,819,516 = 1,123,631,819,516 : x
  2. Step 2: Convert to fraction form
    505,324,262,899/1,123,631,819,516 = 1,123,631,819,516/x
  3. Step 3: Cross multiply
    505,324,262,899x = 1,123,631,819,516 × 1,123,631,819,516
  4. Step 4: Simplify right side
    505,324,262,899x = 1,262,548,465,828,836,759,568,384
  5. Step 5: Solve for x
    x = 1,262,548,465,828,836,759,568,384/505,324,262,899
  6. Step 6: Final answer
    x = 2,498,491,678,562.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.