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Finding the Third Proportional to 9,464,874 and 14,181,273

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Solution

The third proportional to 9,464,874 and 14,181,273 is: 21,247,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,874 : 14,181,273 = 14,181,273 : x
  2. Step 2: Convert to fraction form
    9,464,874/14,181,273 = 14,181,273/x
  3. Step 3: Cross multiply
    9,464,874x = 14,181,273 × 14,181,273
  4. Step 4: Simplify right side
    9,464,874x = 201,108,503,900,529
  5. Step 5: Solve for x
    x = 201,108,503,900,529/9,464,874
  6. Step 6: Final answer
    x = 21,247,879.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.