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Finding the Third Proportional to 9,647,214 and 20,974,044

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Solution

The third proportional to 9,647,214 and 20,974,044 is: 45,599,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647,214 : 20,974,044 = 20,974,044 : x
  2. Step 2: Convert to fraction form
    9,647,214/20,974,044 = 20,974,044/x
  3. Step 3: Cross multiply
    9,647,214x = 20,974,044 × 20,974,044
  4. Step 4: Simplify right side
    9,647,214x = 439,910,521,713,936
  5. Step 5: Solve for x
    x = 439,910,521,713,936/9,647,214
  6. Step 6: Final answer
    x = 45,599,747.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.