Finding the Third Proportional to 1,122,480,855,448 and 2,304,467,691,008
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Solution
The third proportional to 1,122,480,855,448 and 2,304,467,691,008 is: 4,731,101,927,596.09
Step by Step Solution
- Step 1: Write the proportion equation
1,122,480,855,448 : 2,304,467,691,008 = 2,304,467,691,008 : x - Step 2: Convert to fraction form
1,122,480,855,448/2,304,467,691,008 = 2,304,467,691,008/x - Step 3: Cross multiply
1,122,480,855,448x = 2,304,467,691,008 × 2,304,467,691,008 - Step 4: Simplify right side
1,122,480,855,448x = 5,310,571,338,899,743,490,179,072 - Step 5: Solve for x
x = 5,310,571,338,899,743,490,179,072/1,122,480,855,448 - Step 6: Final answer
x = 4,731,101,927,596.09
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.