Finding the Third Proportional to 25,575,823,705,144 and 55,227,990,147,344
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Solution
The third proportional to 25,575,823,705,144 and 55,227,990,147,344 is: 119,258,364,105,069.31
Step by Step Solution
- Step 1: Write the proportion equation
25,575,823,705,144 : 55,227,990,147,344 = 55,227,990,147,344 : x - Step 2: Convert to fraction form
25,575,823,705,144/55,227,990,147,344 = 55,227,990,147,344/x - Step 3: Cross multiply
25,575,823,705,144x = 55,227,990,147,344 × 55,227,990,147,344 - Step 4: Simplify right side
25,575,823,705,144x = 3,050,130,895,715,125,998,699,675,648 - Step 5: Solve for x
x = 3,050,130,895,715,125,998,699,675,648/25,575,823,705,144 - Step 6: Final answer
x = 119,258,364,105,069.31
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.