Finding the Third Proportional to 162,132,157,320 and 337,683,894,766
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Solution
The third proportional to 162,132,157,320 and 337,683,894,766 is: 703,317,680,275.32
Step by Step Solution
- Step 1: Write the proportion equation
162,132,157,320 : 337,683,894,766 = 337,683,894,766 : x - Step 2: Convert to fraction form
162,132,157,320/337,683,894,766 = 337,683,894,766/x - Step 3: Cross multiply
162,132,157,320x = 337,683,894,766 × 337,683,894,766 - Step 4: Simplify right side
162,132,157,320x = 114,030,412,784,334,958,231,552 - Step 5: Solve for x
x = 114,030,412,784,334,958,231,552/162,132,157,320 - Step 6: Final answer
x = 703,317,680,275.32
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.