Finding the Third Proportional to 35,539,682,022,816 and 72,078,659,096,784
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Solution
The third proportional to 35,539,682,022,816 and 72,078,659,096,784 is: 146,184,006,200,592.03
Step by Step Solution
- Step 1: Write the proportion equation
35,539,682,022,816 : 72,078,659,096,784 = 72,078,659,096,784 : x - Step 2: Convert to fraction form
35,539,682,022,816/72,078,659,096,784 = 72,078,659,096,784/x - Step 3: Cross multiply
35,539,682,022,816x = 72,078,659,096,784 × 72,078,659,096,784 - Step 4: Simplify right side
35,539,682,022,816x = 5,195,333,097,190,402,810,062,045,184 - Step 5: Solve for x
x = 5,195,333,097,190,402,810,062,045,184/35,539,682,022,816 - Step 6: Final answer
x = 146,184,006,200,592.03
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.