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Finding the Third Proportional to 82,279,811 and 175,494,621

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Solution

The third proportional to 82,279,811 and 175,494,621 is: 374,312,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,279,811 : 175,494,621 = 175,494,621 : x
  2. Step 2: Convert to fraction form
    82,279,811/175,494,621 = 175,494,621/x
  3. Step 3: Cross multiply
    82,279,811x = 175,494,621 × 175,494,621
  4. Step 4: Simplify right side
    82,279,811x = 30,798,361,999,933,640
  5. Step 5: Solve for x
    x = 30,798,361,999,933,640/82,279,811
  6. Step 6: Final answer
    x = 374,312,502.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.