Finding the Third Proportional to 745,178,467,096 and 1,620,920,079,792
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Solution
The third proportional to 745,178,467,096 and 1,620,920,079,792 is: 3,525,842,494,230.88
Step by Step Solution
- Step 1: Write the proportion equation
745,178,467,096 : 1,620,920,079,792 = 1,620,920,079,792 : x - Step 2: Convert to fraction form
745,178,467,096/1,620,920,079,792 = 1,620,920,079,792/x - Step 3: Cross multiply
745,178,467,096x = 1,620,920,079,792 × 1,620,920,079,792 - Step 4: Simplify right side
745,178,467,096x = 2,627,381,905,072,903,757,496,320 - Step 5: Solve for x
x = 2,627,381,905,072,903,757,496,320/745,178,467,096 - Step 6: Final answer
x = 3,525,842,494,230.88
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.