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Finding the Third Proportional to 38,858,383.13 and 83,769,904.13

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Solution

The third proportional to 38,858,383.13 and 83,769,904.13 is: 180,589,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858,383.13 : 83,769,904.13 = 83,769,904.13 : x
  2. Step 2: Convert to fraction form
    38,858,383.13/83,769,904.13 = 83,769,904.13/x
  3. Step 3: Cross multiply
    38,858,383.13x = 83,769,904.13 × 83,769,904.13
  4. Step 4: Simplify right side
    38,858,383.13x = 7,017,396,837,111,692
  5. Step 5: Solve for x
    x = 7,017,396,837,111,692/38,858,383.13
  6. Step 6: Final answer
    x = 180,589,007.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.