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Finding the Third Proportional to 392,786,676 and 589,180,014

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Solution

The third proportional to 392,786,676 and 589,180,014 is: 883,770,021

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,786,676 : 589,180,014 = 589,180,014 : x
  2. Step 2: Convert to fraction form
    392,786,676/589,180,014 = 589,180,014/x
  3. Step 3: Cross multiply
    392,786,676x = 589,180,014 × 589,180,014
  4. Step 4: Simplify right side
    392,786,676x = 347,133,088,897,040,192
  5. Step 5: Solve for x
    x = 347,133,088,897,040,192/392,786,676
  6. Step 6: Final answer
    x = 883,770,021

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.