Finding the Third Proportional to 416,230,915,701 and 662,305,211,276
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Solution
The third proportional to 416,230,915,701 and 662,305,211,276 is: 1,053,857,789,839.07
Step by Step Solution
- Step 1: Write the proportion equation
416,230,915,701 : 662,305,211,276 = 662,305,211,276 : x - Step 2: Convert to fraction form
416,230,915,701/662,305,211,276 = 662,305,211,276/x - Step 3: Cross multiply
416,230,915,701x = 662,305,211,276 × 662,305,211,276 - Step 4: Simplify right side
416,230,915,701x = 438,648,192,883,347,001,704,448 - Step 5: Solve for x
x = 438,648,192,883,347,001,704,448/416,230,915,701 - Step 6: Final answer
x = 1,053,857,789,839.07
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.