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Finding the Third Proportional to 9,647,078 and 15,356,217

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Solution

The third proportional to 9,647,078 and 15,356,217 is: 24,444,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647,078 : 15,356,217 = 15,356,217 : x
  2. Step 2: Convert to fraction form
    9,647,078/15,356,217 = 15,356,217/x
  3. Step 3: Cross multiply
    9,647,078x = 15,356,217 × 15,356,217
  4. Step 4: Simplify right side
    9,647,078x = 235,813,400,551,089
  5. Step 5: Solve for x
    x = 235,813,400,551,089/9,647,078
  6. Step 6: Final answer
    x = 24,444,023.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.