Finding the Third Proportional to 151,187,820,822 and 323,940,519,720
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Solution
The third proportional to 151,187,820,822 and 323,940,519,720 is: 694,086,730,967.64
Step by Step Solution
- Step 1: Write the proportion equation
151,187,820,822 : 323,940,519,720 = 323,940,519,720 : x - Step 2: Convert to fraction form
151,187,820,822/323,940,519,720 = 323,940,519,720/x - Step 3: Cross multiply
151,187,820,822x = 323,940,519,720 × 323,940,519,720 - Step 4: Simplify right side
151,187,820,822x = 104,937,460,316,463,714,795,520 - Step 5: Solve for x
x = 104,937,460,316,463,714,795,520/151,187,820,822 - Step 6: Final answer
x = 694,086,730,967.64
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.