Finding the Third Proportional to 505,324,266,390 and 1,123,631,826,336
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Solution
The third proportional to 505,324,266,390 and 1,123,631,826,336 is: 2,498,491,691,631.45
Step by Step Solution
- Step 1: Write the proportion equation
505,324,266,390 : 1,123,631,826,336 = 1,123,631,826,336 : x - Step 2: Convert to fraction form
505,324,266,390/1,123,631,826,336 = 1,123,631,826,336/x - Step 3: Cross multiply
505,324,266,390x = 1,123,631,826,336 × 1,123,631,826,336 - Step 4: Simplify right side
505,324,266,390x = 1,262,548,481,155,174,957,580,288 - Step 5: Solve for x
x = 1,262,548,481,155,174,957,580,288/505,324,266,390 - Step 6: Final answer
x = 2,498,491,691,631.45
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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.