Finding the Third Proportional to 739,966,072,344 and 1,177,431,486,696
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Solution
The third proportional to 739,966,072,344 and 1,177,431,486,696 is: 1,873,524,959,693.91
Step by Step Solution
- Step 1: Write the proportion equation
739,966,072,344 : 1,177,431,486,696 = 1,177,431,486,696 : x - Step 2: Convert to fraction form
739,966,072,344/1,177,431,486,696 = 1,177,431,486,696/x - Step 3: Cross multiply
739,966,072,344x = 1,177,431,486,696 × 1,177,431,486,696 - Step 4: Simplify right side
739,966,072,344x = 1,386,344,905,863,152,894,214,144 - Step 5: Solve for x
x = 1,386,344,905,863,152,894,214,144/739,966,072,344 - Step 6: Final answer
x = 1,873,524,959,693.91
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.