Finding the Third Proportional to 31,512,816,724 and 68,255,024,552
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Solution
The third proportional to 31,512,816,724 and 68,255,024,552 is: 147,836,622,076.57
Step by Step Solution
- Step 1: Write the proportion equation
31,512,816,724 : 68,255,024,552 = 68,255,024,552 : x - Step 2: Convert to fraction form
31,512,816,724/68,255,024,552 = 68,255,024,552/x - Step 3: Cross multiply
31,512,816,724x = 68,255,024,552 × 68,255,024,552 - Step 4: Simplify right side
31,512,816,724x = 4,658,748,376,594,122,801,152 - Step 5: Solve for x
x = 4,658,748,376,594,122,801,152/31,512,816,724 - Step 6: Final answer
x = 147,836,622,076.57
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.