Finding the Third Proportional to 49,674,862,178.25 and 108,340,351,503.75
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Solution
The third proportional to 49,674,862,178.25 and 108,340,351,503.75 is: 236,289,166,174.99
Step by Step Solution
- Step 1: Write the proportion equation
49,674,862,178.25 : 108,340,351,503.75 = 108,340,351,503.75 : x - Step 2: Convert to fraction form
49,674,862,178.25/108,340,351,503.75 = 108,340,351,503.75/x - Step 3: Cross multiply
49,674,862,178.25x = 108,340,351,503.75 × 108,340,351,503.75 - Step 4: Simplify right side
49,674,862,178.25x = 11,737,631,763,956,104,167,424 - Step 5: Solve for x
x = 11,737,631,763,956,104,167,424/49,674,862,178.25 - Step 6: Final answer
x = 236,289,166,174.99
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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.