Finding the Third Proportional to 49,947,199,382 and 71,791,656,969
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Solution
The third proportional to 49,947,199,382 and 71,791,656,969 is: 103,189,809,921.80
Step by Step Solution
- Step 1: Write the proportion equation
49,947,199,382 : 71,791,656,969 = 71,791,656,969 : x - Step 2: Convert to fraction form
49,947,199,382/71,791,656,969 = 71,791,656,969/x - Step 3: Cross multiply
49,947,199,382x = 71,791,656,969 × 71,791,656,969 - Step 4: Simplify right side
49,947,199,382x = 5,154,042,010,354,565,775,360 - Step 5: Solve for x
x = 5,154,042,010,354,565,775,360/49,947,199,382 - Step 6: Final answer
x = 103,189,809,921.80
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.