Finding the Third Proportional to 40,409,310,787,092 and 82,960,836,860,048
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Solution
The third proportional to 40,409,310,787,092 and 82,960,836,860,048 is: 170,319,669,364,862.94
Step by Step Solution
- Step 1: Write the proportion equation
40,409,310,787,092 : 82,960,836,860,048 = 82,960,836,860,048 : x - Step 2: Convert to fraction form
40,409,310,787,092/82,960,836,860,048 = 82,960,836,860,048/x - Step 3: Cross multiply
40,409,310,787,092x = 82,960,836,860,048 × 82,960,836,860,048 - Step 4: Simplify right side
40,409,310,787,092x = 6,882,500,452,519,498,574,609,776,640 - Step 5: Solve for x
x = 6,882,500,452,519,498,574,609,776,640/40,409,310,787,092 - Step 6: Final answer
x = 170,319,669,364,862.94
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.