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Finding the Third Proportional to 38,858,395.50 and 83,769,927.38

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Solution

The third proportional to 38,858,395.50 and 83,769,927.38 is: 180,589,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858,395.50 : 83,769,927.38 = 83,769,927.38 : x
  2. Step 2: Convert to fraction form
    38,858,395.50/83,769,927.38 = 83,769,927.38/x
  3. Step 3: Cross multiply
    38,858,395.50x = 83,769,927.38 × 83,769,927.38
  4. Step 4: Simplify right side
    38,858,395.50x = 7,017,400,732,412,774
  5. Step 5: Solve for x
    x = 7,017,400,732,412,774/38,858,395.50
  6. Step 6: Final answer
    x = 180,589,050.12

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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.