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Finding the Third Proportional to 38,543,928 and 83,438,816

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Solution

The third proportional to 38,543,928 and 83,438,816 is: 180,626,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543,928 : 83,438,816 = 83,438,816 : x
  2. Step 2: Convert to fraction form
    38,543,928/83,438,816 = 83,438,816/x
  3. Step 3: Cross multiply
    38,543,928x = 83,438,816 × 83,438,816
  4. Step 4: Simplify right side
    38,543,928x = 6,962,036,015,481,856
  5. Step 5: Solve for x
    x = 6,962,036,015,481,856/38,543,928
  6. Step 6: Final answer
    x = 180,626,012.36

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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.