Finding the Third Proportional to 319,775,512,292 and 711,048,265,160
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Solution
The third proportional to 319,775,512,292 and 711,048,265,160 is: 1,581,076,774,025.68
Step by Step Solution
- Step 1: Write the proportion equation
319,775,512,292 : 711,048,265,160 = 711,048,265,160 : x - Step 2: Convert to fraction form
319,775,512,292/711,048,265,160 = 711,048,265,160/x - Step 3: Cross multiply
319,775,512,292x = 711,048,265,160 × 711,048,265,160 - Step 4: Simplify right side
319,775,512,292x = 505,589,635,387,045,690,998,784 - Step 5: Solve for x
x = 505,589,635,387,045,690,998,784/319,775,512,292 - Step 6: Final answer
x = 1,581,076,774,025.68
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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.