Finding the Third Proportional to 319,775,512,330 and 711,048,265,114
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Solution
The third proportional to 319,775,512,330 and 711,048,265,114 is: 1,581,076,773,633.23
Step by Step Solution
- Step 1: Write the proportion equation
319,775,512,330 : 711,048,265,114 = 711,048,265,114 : x - Step 2: Convert to fraction form
319,775,512,330/711,048,265,114 = 711,048,265,114/x - Step 3: Cross multiply
319,775,512,330x = 711,048,265,114 × 711,048,265,114 - Step 4: Simplify right side
319,775,512,330x = 505,589,635,321,629,245,440,000 - Step 5: Solve for x
x = 505,589,635,321,629,245,440,000/319,775,512,330 - Step 6: Final answer
x = 1,581,076,773,633.23
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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.