Finding the Third Proportional to 468,542,558,844 and 659,811,170,646
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Solution
The third proportional to 468,542,558,844 and 659,811,170,646 is: 929,159,523,914.65
Step by Step Solution
- Step 1: Write the proportion equation
468,542,558,844 : 659,811,170,646 = 659,811,170,646 : x - Step 2: Convert to fraction form
468,542,558,844/659,811,170,646 = 659,811,170,646/x - Step 3: Cross multiply
468,542,558,844x = 659,811,170,646 × 659,811,170,646 - Step 4: Simplify right side
468,542,558,844x = 435,350,780,909,244,955,754,496 - Step 5: Solve for x
x = 435,350,780,909,244,955,754,496/468,542,558,844 - Step 6: Final answer
x = 929,159,523,914.65
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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.