Finding the Third Proportional to 4,967,296 and 10,864,464
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Solution
The third proportional to 4,967,296 and 10,864,464 is: 23,762,742.95
Step by Step Solution
- Step 1: Write the proportion equation
4,967,296 : 10,864,464 = 10,864,464 : x - Step 2: Convert to fraction form
4,967,296/10,864,464 = 10,864,464/x - Step 3: Cross multiply
4,967,296x = 10,864,464 × 10,864,464 - Step 4: Simplify right side
4,967,296x = 118,036,578,007,296 - Step 5: Solve for x
x = 118,036,578,007,296/4,967,296 - Step 6: Final answer
x = 23,762,742.95
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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.