Finding the Third Proportional to 177,452,690,408 and 394,581,269,968
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Solution
The third proportional to 177,452,690,408 and 394,581,269,968 is: 877,385,280,840.69
Step by Step Solution
- Step 1: Write the proportion equation
177,452,690,408 : 394,581,269,968 = 394,581,269,968 : x - Step 2: Convert to fraction form
177,452,690,408/394,581,269,968 = 394,581,269,968/x - Step 3: Cross multiply
177,452,690,408x = 394,581,269,968 × 394,581,269,968 - Step 4: Simplify right side
177,452,690,408x = 155,694,378,609,559,692,378,112 - Step 5: Solve for x
x = 155,694,378,609,559,692,378,112/177,452,690,408 - Step 6: Final answer
x = 877,385,280,840.69
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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.