Finding the Third Proportional to 312,232,010,364 and 421,274,288,583
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Solution
The third proportional to 312,232,010,364 and 421,274,288,583 is: 568,397,923,115.62
Step by Step Solution
- Step 1: Write the proportion equation
312,232,010,364 : 421,274,288,583 = 421,274,288,583 : x - Step 2: Convert to fraction form
312,232,010,364/421,274,288,583 = 421,274,288,583/x - Step 3: Cross multiply
312,232,010,364x = 421,274,288,583 × 421,274,288,583 - Step 4: Simplify right side
312,232,010,364x = 177,472,026,221,112,748,670,976 - Step 5: Solve for x
x = 177,472,026,221,112,748,670,976/312,232,010,364 - Step 6: Final answer
x = 568,397,923,115.62
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.