Finding the Third Proportional to 308,670,673,320 and 668,632,859,984
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Solution
The third proportional to 308,670,673,320 and 668,632,859,984 is: 1,448,371,808,833.63
Step by Step Solution
- Step 1: Write the proportion equation
308,670,673,320 : 668,632,859,984 = 668,632,859,984 : x - Step 2: Convert to fraction form
308,670,673,320/668,632,859,984 = 668,632,859,984/x - Step 3: Cross multiply
308,670,673,320x = 668,632,859,984 × 668,632,859,984 - Step 4: Simplify right side
308,670,673,320x = 447,069,901,450,383,324,086,272 - Step 5: Solve for x
x = 447,069,901,450,383,324,086,272/308,670,673,320 - Step 6: Final answer
x = 1,448,371,808,833.63
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.