Finding the Third Proportional to 13,327,380,758,470 and 27,029,497,161,116
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Solution
The third proportional to 13,327,380,758,470 and 27,029,497,161,116 is: 54,819,002,324,853.73
Step by Step Solution
- Step 1: Write the proportion equation
13,327,380,758,470 : 27,029,497,161,116 = 27,029,497,161,116 : x - Step 2: Convert to fraction form
13,327,380,758,470/27,029,497,161,116 = 27,029,497,161,116/x - Step 3: Cross multiply
13,327,380,758,470x = 27,029,497,161,116 × 27,029,497,161,116 - Step 4: Simplify right side
13,327,380,758,470x = 730,593,716,782,777,864,535,670,784 - Step 5: Solve for x
x = 730,593,716,782,777,864,535,670,784/13,327,380,758,470 - Step 6: Final answer
x = 54,819,002,324,853.73
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.