Finding the Third Proportional to 11,247,192,714,678 and 17,206,945,556,294
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Solution
The third proportional to 11,247,192,714,678 and 17,206,945,556,294 is: 26,324,700,117,467.70
Step by Step Solution
- Step 1: Write the proportion equation
11,247,192,714,678 : 17,206,945,556,294 = 17,206,945,556,294 : x - Step 2: Convert to fraction form
11,247,192,714,678/17,206,945,556,294 = 17,206,945,556,294/x - Step 3: Cross multiply
11,247,192,714,678x = 17,206,945,556,294 × 17,206,945,556,294 - Step 4: Simplify right side
11,247,192,714,678x = 296,078,975,377,265,844,870,447,104 - Step 5: Solve for x
x = 296,078,975,377,265,844,870,447,104/11,247,192,714,678 - Step 6: Final answer
x = 26,324,700,117,467.70
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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.