Finding the Third Proportional to 11,247,192,714,668 and 17,206,945,556,278
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Solution
The third proportional to 11,247,192,714,668 and 17,206,945,556,278 is: 26,324,700,117,442.15
Step by Step Solution
- Step 1: Write the proportion equation
11,247,192,714,668 : 17,206,945,556,278 = 17,206,945,556,278 : x - Step 2: Convert to fraction form
11,247,192,714,668/17,206,945,556,278 = 17,206,945,556,278/x - Step 3: Cross multiply
11,247,192,714,668x = 17,206,945,556,278 × 17,206,945,556,278 - Step 4: Simplify right side
11,247,192,714,668x = 296,078,975,376,715,195,703,361,536 - Step 5: Solve for x
x = 296,078,975,376,715,195,703,361,536/11,247,192,714,668 - Step 6: Final answer
x = 26,324,700,117,442.15
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.