Finding the Third Proportional to 30,831,920,065.50 and 49,059,645,978
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Solution
The third proportional to 30,831,920,065.50 and 49,059,645,978 is: 78,063,541,238.22
Step by Step Solution
- Step 1: Write the proportion equation
30,831,920,065.50 : 49,059,645,978 = 49,059,645,978 : x - Step 2: Convert to fraction form
30,831,920,065.50/49,059,645,978 = 49,059,645,978/x - Step 3: Cross multiply
30,831,920,065.50x = 49,059,645,978 × 49,059,645,978 - Step 4: Simplify right side
30,831,920,065.50x = 2,406,848,863,486,691,770,368 - Step 5: Solve for x
x = 2,406,848,863,486,691,770,368/30,831,920,065.50 - Step 6: Final answer
x = 78,063,541,238.22
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.