Finding the Third Proportional to 126,264,722,206 and 274,757,121,884
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Solution
The third proportional to 126,264,722,206 and 274,757,121,884 is: 597,882,565,351.99
Step by Step Solution
- Step 1: Write the proportion equation
126,264,722,206 : 274,757,121,884 = 274,757,121,884 : x - Step 2: Convert to fraction form
126,264,722,206/274,757,121,884 = 274,757,121,884/x - Step 3: Cross multiply
126,264,722,206x = 274,757,121,884 × 274,757,121,884 - Step 4: Simplify right side
126,264,722,206x = 75,491,476,025,979,229,437,952 - Step 5: Solve for x
x = 75,491,476,025,979,229,437,952/126,264,722,206 - Step 6: Final answer
x = 597,882,565,351.99
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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.