Finding the Third Proportional to 34,095,355,984,055 and 69,998,206,114,014
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Solution
The third proportional to 34,095,355,984,055 and 69,998,206,114,014 is: 143,707,221,050,028
Step by Step Solution
- Step 1: Write the proportion equation
34,095,355,984,055 : 69,998,206,114,014 = 69,998,206,114,014 : x - Step 2: Convert to fraction form
34,095,355,984,055/69,998,206,114,014 = 69,998,206,114,014/x - Step 3: Cross multiply
34,095,355,984,055x = 69,998,206,114,014 × 69,998,206,114,014 - Step 4: Simplify right side
34,095,355,984,055x = 4,899,748,859,179,986,852,994,088,960 - Step 5: Solve for x
x = 4,899,748,859,179,986,852,994,088,960/34,095,355,984,055 - Step 6: Final answer
x = 143,707,221,050,028
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.