Finding the Third Proportional to 32,083,992 and 69,282,416
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Solution
The third proportional to 32,083,992 and 69,282,416 is: 149,608,975.30
Step by Step Solution
- Step 1: Write the proportion equation
32,083,992 : 69,282,416 = 69,282,416 : x - Step 2: Convert to fraction form
32,083,992/69,282,416 = 69,282,416/x - Step 3: Cross multiply
32,083,992x = 69,282,416 × 69,282,416 - Step 4: Simplify right side
32,083,992x = 4,800,053,166,797,056 - Step 5: Solve for x
x = 4,800,053,166,797,056/32,083,992 - Step 6: Final answer
x = 149,608,975.30
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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.