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Finding the Third Proportional to 38,543,714 and 83,438,404

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Solution

The third proportional to 38,543,714 and 83,438,404 is: 180,625,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543,714 : 83,438,404 = 83,438,404 : x
  2. Step 2: Convert to fraction form
    38,543,714/83,438,404 = 83,438,404/x
  3. Step 3: Cross multiply
    38,543,714x = 83,438,404 × 83,438,404
  4. Step 4: Simplify right side
    38,543,714x = 6,961,967,262,067,216
  5. Step 5: Solve for x
    x = 6,961,967,262,067,216/38,543,714
  6. Step 6: Final answer
    x = 180,625,231.45

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