Finding the Third Proportional to 773,194,986,702 and 1,568,436,670,434
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Solution
The third proportional to 773,194,986,702 and 1,568,436,670,434 is: 3,181,595,369,177.18
Step by Step Solution
- Step 1: Write the proportion equation
773,194,986,702 : 1,568,436,670,434 = 1,568,436,670,434 : x - Step 2: Convert to fraction form
773,194,986,702/1,568,436,670,434 = 1,568,436,670,434/x - Step 3: Cross multiply
773,194,986,702x = 1,568,436,670,434 × 1,568,436,670,434 - Step 4: Simplify right side
773,194,986,702x = 2,459,993,589,162,091,755,864,064 - Step 5: Solve for x
x = 2,459,993,589,162,091,755,864,064/773,194,986,702 - Step 6: Final answer
x = 3,181,595,369,177.18
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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.