Finding the Third Proportional to 296,410,245,152 and 458,002,971,696
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Solution
The third proportional to 296,410,245,152 and 458,002,971,696 is: 707,690,525,254.27
Step by Step Solution
- Step 1: Write the proportion equation
296,410,245,152 : 458,002,971,696 = 458,002,971,696 : x - Step 2: Convert to fraction form
296,410,245,152/458,002,971,696 = 458,002,971,696/x - Step 3: Cross multiply
296,410,245,152x = 458,002,971,696 × 458,002,971,696 - Step 4: Simplify right side
296,410,245,152x = 209,766,722,082,366,975,639,552 - Step 5: Solve for x
x = 209,766,722,082,366,975,639,552/296,410,245,152 - Step 6: Final answer
x = 707,690,525,254.27
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.