Finding the Third Proportional to 283,870,279,231 and 610,794,728,142
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Solution
The third proportional to 283,870,279,231 and 610,794,728,142 is: 1,314,227,755,496.99
Step by Step Solution
- Step 1: Write the proportion equation
283,870,279,231 : 610,794,728,142 = 610,794,728,142 : x - Step 2: Convert to fraction form
283,870,279,231/610,794,728,142 = 610,794,728,142/x - Step 3: Cross multiply
283,870,279,231x = 610,794,728,142 × 610,794,728,142 - Step 4: Simplify right side
283,870,279,231x = 373,070,199,926,059,662,573,568 - Step 5: Solve for x
x = 373,070,199,926,059,662,573,568/283,870,279,231 - Step 6: Final answer
x = 1,314,227,755,496.99
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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.