Finding the Third Proportional to 187,463,688,120 and 410,741,827,722
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Solution
The third proportional to 187,463,688,120 and 410,741,827,722 is: 899,954,816,489.13
Step by Step Solution
- Step 1: Write the proportion equation
187,463,688,120 : 410,741,827,722 = 410,741,827,722 : x - Step 2: Convert to fraction form
187,463,688,120/410,741,827,722 = 410,741,827,722/x - Step 3: Cross multiply
187,463,688,120x = 410,741,827,722 × 410,741,827,722 - Step 4: Simplify right side
187,463,688,120x = 168,708,849,040,409,134,891,008 - Step 5: Solve for x
x = 168,708,849,040,409,134,891,008/187,463,688,120 - Step 6: Final answer
x = 899,954,816,489.13
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.