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Finding the Third Proportional to 9,647,216 and 20,974,048

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Solution

The third proportional to 9,647,216 and 20,974,048 is: 45,599,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647,216 : 20,974,048 = 20,974,048 : x
  2. Step 2: Convert to fraction form
    9,647,216/20,974,048 = 20,974,048/x
  3. Step 3: Cross multiply
    9,647,216x = 20,974,048 × 20,974,048
  4. Step 4: Simplify right side
    9,647,216x = 439,910,689,506,304
  5. Step 5: Solve for x
    x = 439,910,689,506,304/9,647,216
  6. Step 6: Final answer
    x = 45,599,755.36

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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.