Finding the Third Proportional to 449,324,007,147 and 962,268,410,727
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Solution
The third proportional to 449,324,007,147 and 962,268,410,727 is: 2,060,785,712,658.64
Step by Step Solution
- Step 1: Write the proportion equation
449,324,007,147 : 962,268,410,727 = 962,268,410,727 : x - Step 2: Convert to fraction form
449,324,007,147/962,268,410,727 = 962,268,410,727/x - Step 3: Cross multiply
449,324,007,147x = 962,268,410,727 × 962,268,410,727 - Step 4: Simplify right side
449,324,007,147x = 925,960,494,283,066,427,047,936 - Step 5: Solve for x
x = 925,960,494,283,066,427,047,936/449,324,007,147 - Step 6: Final answer
x = 2,060,785,712,658.64
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.