Finding the Third Proportional to 38,832,320,741,828 and 84,500,694,227,944
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Solution
The third proportional to 38,832,320,741,828 and 84,500,694,227,944 is: 183,876,914,606,169.44
Step by Step Solution
- Step 1: Write the proportion equation
38,832,320,741,828 : 84,500,694,227,944 = 84,500,694,227,944 : x - Step 2: Convert to fraction form
38,832,320,741,828/84,500,694,227,944 = 84,500,694,227,944/x - Step 3: Cross multiply
38,832,320,741,828x = 84,500,694,227,944 × 84,500,694,227,944 - Step 4: Simplify right side
38,832,320,741,828x = 7,140,367,325,004,488,910,615,609,344 - Step 5: Solve for x
x = 7,140,367,325,004,488,910,615,609,344/38,832,320,741,828 - Step 6: Final answer
x = 183,876,914,606,169.44
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.