Finding the Third Proportional to 49,952,780,716 and 107,867,168,342
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Solution
The third proportional to 49,952,780,716 and 107,867,168,342 is: 232,926,492,566.50
Step by Step Solution
- Step 1: Write the proportion equation
49,952,780,716 : 107,867,168,342 = 107,867,168,342 : x - Step 2: Convert to fraction form
49,952,780,716/107,867,168,342 = 107,867,168,342/x - Step 3: Cross multiply
49,952,780,716x = 107,867,168,342 × 107,867,168,342 - Step 4: Simplify right side
49,952,780,716x = 11,635,326,006,121,367,339,008 - Step 5: Solve for x
x = 11,635,326,006,121,367,339,008/49,952,780,716 - Step 6: Final answer
x = 232,926,492,566.50
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.