Finding the Third Proportional to 293,102,200,518 and 634,874,365,668
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Solution
The third proportional to 293,102,200,518 and 634,874,365,668 is: 1,375,170,365,387.93
Step by Step Solution
- Step 1: Write the proportion equation
293,102,200,518 : 634,874,365,668 = 634,874,365,668 : x - Step 2: Convert to fraction form
293,102,200,518/634,874,365,668 = 634,874,365,668/x - Step 3: Cross multiply
293,102,200,518x = 634,874,365,668 × 634,874,365,668 - Step 4: Simplify right side
293,102,200,518x = 403,065,460,182,345,404,383,232 - Step 5: Solve for x
x = 403,065,460,182,345,404,383,232/293,102,200,518 - Step 6: Final answer
x = 1,375,170,365,387.93
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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.