Finding the Third Proportional to 55,198,301,824 and 120,067,915,680
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Solution
The third proportional to 55,198,301,824 and 120,067,915,680 is: 261,172,969,083.47
Step by Step Solution
- Step 1: Write the proportion equation
55,198,301,824 : 120,067,915,680 = 120,067,915,680 : x - Step 2: Convert to fraction form
55,198,301,824/120,067,915,680 = 120,067,915,680/x - Step 3: Cross multiply
55,198,301,824x = 120,067,915,680 × 120,067,915,680 - Step 4: Simplify right side
55,198,301,824x = 14,416,304,375,739,589,853,184 - Step 5: Solve for x
x = 14,416,304,375,739,589,853,184/55,198,301,824 - Step 6: Final answer
x = 261,172,969,083.47
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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.