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Finding the Third Proportional to 5,276,538 and 11,563,101

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Solution

The third proportional to 5,276,538 and 11,563,101 is: 25,339,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276,538 : 11,563,101 = 11,563,101 : x
  2. Step 2: Convert to fraction form
    5,276,538/11,563,101 = 11,563,101/x
  3. Step 3: Cross multiply
    5,276,538x = 11,563,101 × 11,563,101
  4. Step 4: Simplify right side
    5,276,538x = 133,705,304,736,201
  5. Step 5: Solve for x
    x = 133,705,304,736,201/5,276,538
  6. Step 6: Final answer
    x = 25,339,589.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.