Finding the Third Proportional to 32,369,401,876,608 and 69,897,925,029,784
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Solution
The third proportional to 32,369,401,876,608 and 69,897,925,029,784 is: 150,936,367,069,544.41
Step by Step Solution
- Step 1: Write the proportion equation
32,369,401,876,608 : 69,897,925,029,784 = 69,897,925,029,784 : x - Step 2: Convert to fraction form
32,369,401,876,608/69,897,925,029,784 = 69,897,925,029,784/x - Step 3: Cross multiply
32,369,401,876,608x = 69,897,925,029,784 × 69,897,925,029,784 - Step 4: Simplify right side
32,369,401,876,608x = 4,885,719,923,469,304,642,607,775,744 - Step 5: Solve for x
x = 4,885,719,923,469,304,642,607,775,744/32,369,401,876,608 - Step 6: Final answer
x = 150,936,367,069,544.41
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.