Finding the Third Proportional to 452,427,047,292 and 984,286,780,008
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Solution
The third proportional to 452,427,047,292 and 984,286,780,008 is: 2,141,384,939,510.99
Step by Step Solution
- Step 1: Write the proportion equation
452,427,047,292 : 984,286,780,008 = 984,286,780,008 : x - Step 2: Convert to fraction form
452,427,047,292/984,286,780,008 = 984,286,780,008/x - Step 3: Cross multiply
452,427,047,292x = 984,286,780,008 × 984,286,780,008 - Step 4: Simplify right side
452,427,047,292x = 968,820,465,298,517,040,037,888 - Step 5: Solve for x
x = 968,820,465,298,517,040,037,888/452,427,047,292 - Step 6: Final answer
x = 2,141,384,939,510.99
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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.