Finding the Third Proportional to 20,405,811,958,098 and 44,970,978,376,182
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Solution
The third proportional to 20,405,811,958,098 and 44,970,978,376,182 is: 99,108,474,598,505.19
Step by Step Solution
- Step 1: Write the proportion equation
20,405,811,958,098 : 44,970,978,376,182 = 44,970,978,376,182 : x - Step 2: Convert to fraction form
20,405,811,958,098/44,970,978,376,182 = 44,970,978,376,182/x - Step 3: Cross multiply
20,405,811,958,098x = 44,970,978,376,182 × 44,970,978,376,182 - Step 4: Simplify right side
20,405,811,958,098x = 2,022,388,896,111,029,144,027,922,432 - Step 5: Solve for x
x = 2,022,388,896,111,029,144,027,922,432/20,405,811,958,098 - Step 6: Final answer
x = 99,108,474,598,505.19
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.