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Finding the Third Proportional to 38,444,039 and 84,190,469

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Solution

The third proportional to 38,444,039 and 84,190,469 is: 184,372,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444,039 : 84,190,469 = 84,190,469 : x
  2. Step 2: Convert to fraction form
    38,444,039/84,190,469 = 84,190,469/x
  3. Step 3: Cross multiply
    38,444,039x = 84,190,469 × 84,190,469
  4. Step 4: Simplify right side
    38,444,039x = 7,088,035,070,439,961
  5. Step 5: Solve for x
    x = 7,088,035,070,439,961/38,444,039
  6. Step 6: Final answer
    x = 184,372,798.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.