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Finding the Third Proportional to 9,451,782 and 14,174,757

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Solution

The third proportional to 9,451,782 and 14,174,757 is: 21,257,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451,782 : 14,174,757 = 14,174,757 : x
  2. Step 2: Convert to fraction form
    9,451,782/14,174,757 = 14,174,757/x
  3. Step 3: Cross multiply
    9,451,782x = 14,174,757 × 14,174,757
  4. Step 4: Simplify right side
    9,451,782x = 200,923,736,009,049
  5. Step 5: Solve for x
    x = 200,923,736,009,049/9,451,782
  6. Step 6: Final answer
    x = 21,257,762.40

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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.