Finding the Third Proportional to 468,542,558,207.24 and 659,811,169,845
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Solution
The third proportional to 468,542,558,207.24 and 659,811,169,845 is: 929,159,522,921.43
Step by Step Solution
- Step 1: Write the proportion equation
468,542,558,207.24 : 659,811,169,845 = 659,811,169,845 : x - Step 2: Convert to fraction form
468,542,558,207.24/659,811,169,845 = 659,811,169,845/x - Step 3: Cross multiply
468,542,558,207.24x = 659,811,169,845 × 659,811,169,845 - Step 4: Simplify right side
468,542,558,207.24x = 435,350,779,852,227,465,969,664 - Step 5: Solve for x
x = 435,350,779,852,227,465,969,664/468,542,558,207.24 - Step 6: Final answer
x = 929,159,522,921.43
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.