Finding the Third Proportional to 298,049,170,950 and 650,042,105,123
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Solution
The third proportional to 298,049,170,950 and 650,042,105,123 is: 1,417,734,990,122.24
Step by Step Solution
- Step 1: Write the proportion equation
298,049,170,950 : 650,042,105,123 = 650,042,105,123 : x - Step 2: Convert to fraction form
298,049,170,950/650,042,105,123 = 650,042,105,123/x - Step 3: Cross multiply
298,049,170,950x = 650,042,105,123 × 650,042,105,123 - Step 4: Simplify right side
298,049,170,950x = 422,554,738,432,741,403,000,832 - Step 5: Solve for x
x = 422,554,738,432,741,403,000,832/298,049,170,950 - Step 6: Final answer
x = 1,417,734,990,122.24
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.