Finding the Third Proportional to 47,716,915,148 and 103,811,496,338
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Solution
The third proportional to 47,716,915,148 and 103,811,496,338 is: 225,849,192,859.78
Step by Step Solution
- Step 1: Write the proportion equation
47,716,915,148 : 103,811,496,338 = 103,811,496,338 : x - Step 2: Convert to fraction form
47,716,915,148/103,811,496,338 = 103,811,496,338/x - Step 3: Cross multiply
47,716,915,148x = 103,811,496,338 × 103,811,496,338 - Step 4: Simplify right side
47,716,915,148x = 10,776,826,771,934,587,912,192 - Step 5: Solve for x
x = 10,776,826,771,934,587,912,192/47,716,915,148 - Step 6: Final answer
x = 225,849,192,859.78
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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.