Finding the Third Proportional to 381,542,928 and 826,471,353
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Solution
The third proportional to 381,542,928 and 826,471,353 is: 1,790,243,894.47
Step by Step Solution
- Step 1: Write the proportion equation
381,542,928 : 826,471,353 = 826,471,353 : x - Step 2: Convert to fraction form
381,542,928/826,471,353 = 826,471,353/x - Step 3: Cross multiply
381,542,928x = 826,471,353 × 826,471,353 - Step 4: Simplify right side
381,542,928x = 683,054,897,329,650,560 - Step 5: Solve for x
x = 683,054,897,329,650,560/381,542,928 - Step 6: Final answer
x = 1,790,243,894.47
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.