Finding the Third Proportional to 9,783,458,758,228 and 21,284,600,856,882
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Solution
The third proportional to 9,783,458,758,228 and 21,284,600,856,882 is: 46,306,142,319,634.66
Step by Step Solution
- Step 1: Write the proportion equation
9,783,458,758,228 : 21,284,600,856,882 = 21,284,600,856,882 : x - Step 2: Convert to fraction form
9,783,458,758,228/21,284,600,856,882 = 21,284,600,856,882/x - Step 3: Cross multiply
9,783,458,758,228x = 21,284,600,856,882 × 21,284,600,856,882 - Step 4: Simplify right side
9,783,458,758,228x = 453,034,233,636,781,983,933,661,184 - Step 5: Solve for x
x = 453,034,233,636,781,983,933,661,184/9,783,458,758,228 - Step 6: Final answer
x = 46,306,142,319,634.66
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.