Finding the Third Proportional to 53,971,267,017,476 and 82,221,492,021,078
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Solution
The third proportional to 53,971,267,017,476 and 82,221,492,021,078 is: 125,258,755,700,198.23
Step by Step Solution
- Step 1: Write the proportion equation
53,971,267,017,476 : 82,221,492,021,078 = 82,221,492,021,078 : x - Step 2: Convert to fraction form
53,971,267,017,476/82,221,492,021,078 = 82,221,492,021,078/x - Step 3: Cross multiply
53,971,267,017,476x = 82,221,492,021,078 × 82,221,492,021,078 - Step 4: Simplify right side
53,971,267,017,476x = 6,760,373,750,172,192,844,510,396,416 - Step 5: Solve for x
x = 6,760,373,750,172,192,844,510,396,416/53,971,267,017,476 - Step 6: Final answer
x = 125,258,755,700,198.23
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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.