Finding the Third Proportional to 217,214,034,532 and 467,625,136,680
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Solution
The third proportional to 217,214,034,532 and 467,625,136,680 is: 1,006,717,954,142.02
Step by Step Solution
- Step 1: Write the proportion equation
217,214,034,532 : 467,625,136,680 = 467,625,136,680 : x - Step 2: Convert to fraction form
217,214,034,532/467,625,136,680 = 467,625,136,680/x - Step 3: Cross multiply
217,214,034,532x = 467,625,136,680 × 467,625,136,680 - Step 4: Simplify right side
217,214,034,532x = 218,673,268,454,988,670,042,112 - Step 5: Solve for x
x = 218,673,268,454,988,670,042,112/217,214,034,532 - Step 6: Final answer
x = 1,006,717,954,142.02
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.