Finding the Third Proportional to 177,452,690,400 and 394,581,269,952
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Solution
The third proportional to 177,452,690,400 and 394,581,269,952 is: 877,385,280,809.09
Step by Step Solution
- Step 1: Write the proportion equation
177,452,690,400 : 394,581,269,952 = 394,581,269,952 : x - Step 2: Convert to fraction form
177,452,690,400/394,581,269,952 = 394,581,269,952/x - Step 3: Cross multiply
177,452,690,400x = 394,581,269,952 × 394,581,269,952 - Step 4: Simplify right side
177,452,690,400x = 155,694,378,596,933,092,507,648 - Step 5: Solve for x
x = 155,694,378,596,933,092,507,648/177,452,690,400 - Step 6: Final answer
x = 877,385,280,809.09
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.