Finding the Third Proportional to 78,250,879,056 and 171,874,368,072
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Solution
The third proportional to 78,250,879,056 and 171,874,368,072 is: 377,513,949,447.25
Step by Step Solution
- Step 1: Write the proportion equation
78,250,879,056 : 171,874,368,072 = 171,874,368,072 : x - Step 2: Convert to fraction form
78,250,879,056/171,874,368,072 = 171,874,368,072/x - Step 3: Cross multiply
78,250,879,056x = 171,874,368,072 × 171,874,368,072 - Step 4: Simplify right side
78,250,879,056x = 29,540,798,400,149,334,261,760 - Step 5: Solve for x
x = 29,540,798,400,149,334,261,760/78,250,879,056 - Step 6: Final answer
x = 377,513,949,447.25
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.