Finding the Third Proportional to 296,138,639,474 and 451,146,732,843
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Solution
The third proportional to 296,138,639,474 and 451,146,732,843 is: 687,290,840,926.49
Step by Step Solution
- Step 1: Write the proportion equation
296,138,639,474 : 451,146,732,843 = 451,146,732,843 : x - Step 2: Convert to fraction form
296,138,639,474/451,146,732,843 = 451,146,732,843/x - Step 3: Cross multiply
296,138,639,474x = 451,146,732,843 × 451,146,732,843 - Step 4: Simplify right side
296,138,639,474x = 203,533,374,554,913,229,504,512 - Step 5: Solve for x
x = 203,533,374,554,913,229,504,512/296,138,639,474 - Step 6: Final answer
x = 687,290,840,926.49
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.