Finding the Third Proportional to 372,589,233,550 and 810,460,039,900
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Solution
The third proportional to 372,589,233,550 and 810,460,039,900 is: 1,762,921,247,123.38
Step by Step Solution
- Step 1: Write the proportion equation
372,589,233,550 : 810,460,039,900 = 810,460,039,900 : x - Step 2: Convert to fraction form
372,589,233,550/810,460,039,900 = 810,460,039,900/x - Step 3: Cross multiply
372,589,233,550x = 810,460,039,900 × 810,460,039,900 - Step 4: Simplify right side
372,589,233,550x = 656,845,476,274,709,595,160,576 - Step 5: Solve for x
x = 656,845,476,274,709,595,160,576/372,589,233,550 - Step 6: Final answer
x = 1,762,921,247,123.38
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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.