Finding the Third Proportional to 31,877,608,788 and 69,760,260,312
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Solution
The third proportional to 31,877,608,788 and 69,760,260,312 is: 152,661,824,516.46
Step by Step Solution
- Step 1: Write the proportion equation
31,877,608,788 : 69,760,260,312 = 69,760,260,312 : x - Step 2: Convert to fraction form
31,877,608,788/69,760,260,312 = 69,760,260,312/x - Step 3: Cross multiply
31,877,608,788x = 69,760,260,312 × 69,760,260,312 - Step 4: Simplify right side
31,877,608,788x = 4,866,493,918,798,002,782,208 - Step 5: Solve for x
x = 4,866,493,918,798,002,782,208/31,877,608,788 - Step 6: Final answer
x = 152,661,824,516.46
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.