Finding the Third Proportional to 49,775,309,589 and 72,773,243,169
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Solution
The third proportional to 49,775,309,589 and 72,773,243,169 is: 106,397,026,257.87
Step by Step Solution
- Step 1: Write the proportion equation
49,775,309,589 : 72,773,243,169 = 72,773,243,169 : x - Step 2: Convert to fraction form
49,775,309,589/72,773,243,169 = 72,773,243,169/x - Step 3: Cross multiply
49,775,309,589x = 72,773,243,169 × 72,773,243,169 - Step 4: Simplify right side
49,775,309,589x = 5,295,944,921,334,404,874,240 - Step 5: Solve for x
x = 5,295,944,921,334,404,874,240/49,775,309,589 - Step 6: Final answer
x = 106,397,026,257.87
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.