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Finding the Third Proportional to 14,285,538 and 21,557,097

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Solution

The third proportional to 14,285,538 and 21,557,097 is: 32,529,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285,538 : 21,557,097 = 21,557,097 : x
  2. Step 2: Convert to fraction form
    14,285,538/21,557,097 = 21,557,097/x
  3. Step 3: Cross multiply
    14,285,538x = 21,557,097 × 21,557,097
  4. Step 4: Simplify right side
    14,285,538x = 464,708,431,067,409
  5. Step 5: Solve for x
    x = 464,708,431,067,409/14,285,538
  6. Step 6: Final answer
    x = 32,529,991.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.