Finding the Third Proportional to 319,775,512,545 and 711,048,265,569
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Solution
The third proportional to 319,775,512,545 and 711,048,265,569 is: 1,581,076,774,593.66
Step by Step Solution
- Step 1: Write the proportion equation
319,775,512,545 : 711,048,265,569 = 711,048,265,569 : x - Step 2: Convert to fraction form
319,775,512,545/711,048,265,569 = 711,048,265,569/x - Step 3: Cross multiply
319,775,512,545x = 711,048,265,569 × 711,048,265,569 - Step 4: Simplify right side
319,775,512,545x = 505,589,635,968,683,181,342,720 - Step 5: Solve for x
x = 505,589,635,968,683,181,342,720/319,775,512,545 - Step 6: Final answer
x = 1,581,076,774,593.66
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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.