Finding the Third Proportional to 19,731,002,424 and 46,040,595,756
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Solution
The third proportional to 19,731,002,424 and 46,040,595,756 is: 107,431,767,125.48
Step by Step Solution
- Step 1: Write the proportion equation
19,731,002,424 : 46,040,595,756 = 46,040,595,756 : x - Step 2: Convert to fraction form
19,731,002,424/46,040,595,756 = 46,040,595,756/x - Step 3: Cross multiply
19,731,002,424x = 46,040,595,756 × 46,040,595,756 - Step 4: Simplify right side
19,731,002,424x = 2,119,736,457,567,405,080,576 - Step 5: Solve for x
x = 2,119,736,457,567,405,080,576/19,731,002,424 - Step 6: Final answer
x = 107,431,767,125.48
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.