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