Finding the Third Proportional to 7,284,731,124 and 15,674,325,864
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Solution
The third proportional to 7,284,731,124 and 15,674,325,864 is: 33,725,951,872.33
Step by Step Solution
- Step 1: Write the proportion equation
7,284,731,124 : 15,674,325,864 = 15,674,325,864 : x - Step 2: Convert to fraction form
7,284,731,124/15,674,325,864 = 15,674,325,864/x - Step 3: Cross multiply
7,284,731,124x = 15,674,325,864 × 15,674,325,864 - Step 4: Simplify right side
7,284,731,124x = 245,684,491,290,859,339,776 - Step 5: Solve for x
x = 245,684,491,290,859,339,776/7,284,731,124 - Step 6: Final answer
x = 33,725,951,872.33
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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.