Finding the Third Proportional to 6,821,575 and 14,675,414
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Solution
The third proportional to 6,821,575 and 14,675,414 is: 31,571,561.71
Step by Step Solution
- Step 1: Write the proportion equation
6,821,575 : 14,675,414 = 14,675,414 : x - Step 2: Convert to fraction form
6,821,575/14,675,414 = 14,675,414/x - Step 3: Cross multiply
6,821,575x = 14,675,414 × 14,675,414 - Step 4: Simplify right side
6,821,575x = 215,367,776,071,396 - Step 5: Solve for x
x = 215,367,776,071,396/6,821,575 - Step 6: Final answer
x = 31,571,561.71
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.