Finding the Third Proportional to 49,947,199,384 and 71,791,656,972
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Solution
The third proportional to 49,947,199,384 and 71,791,656,972 is: 103,189,809,926.29
Step by Step Solution
- Step 1: Write the proportion equation
49,947,199,384 : 71,791,656,972 = 71,791,656,972 : x - Step 2: Convert to fraction form
49,947,199,384/71,791,656,972 = 71,791,656,972/x - Step 3: Cross multiply
49,947,199,384x = 71,791,656,972 × 71,791,656,972 - Step 4: Simplify right side
49,947,199,384x = 5,154,042,010,785,316,601,856 - Step 5: Solve for x
x = 5,154,042,010,785,316,601,856/49,947,199,384 - Step 6: Final answer
x = 103,189,809,926.29
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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.