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Finding the Third Proportional to 9,568,408 and 20,464,564

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Solution

The third proportional to 9,568,408 and 20,464,564 is: 43,768,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568,408 : 20,464,564 = 20,464,564 : x
  2. Step 2: Convert to fraction form
    9,568,408/20,464,564 = 20,464,564/x
  3. Step 3: Cross multiply
    9,568,408x = 20,464,564 × 20,464,564
  4. Step 4: Simplify right side
    9,568,408x = 418,798,379,710,096
  5. Step 5: Solve for x
    x = 418,798,379,710,096/9,568,408
  6. Step 6: Final answer
    x = 43,768,867.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.