Finding the Third Proportional to 373,399,319,797 and 803,431,541,493
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Solution
The third proportional to 373,399,319,797 and 803,431,541,493 is: 1,728,718,312,118.91
Step by Step Solution
- Step 1: Write the proportion equation
373,399,319,797 : 803,431,541,493 = 803,431,541,493 : x - Step 2: Convert to fraction form
373,399,319,797/803,431,541,493 = 803,431,541,493/x - Step 3: Cross multiply
373,399,319,797x = 803,431,541,493 × 803,431,541,493 - Step 4: Simplify right side
373,399,319,797x = 645,502,241,865,818,194,313,216 - Step 5: Solve for x
x = 645,502,241,865,818,194,313,216/373,399,319,797 - Step 6: Final answer
x = 1,728,718,312,118.91
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.