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Finding the Third Proportional to 4,923,512 and 10,238,416

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Solution

The third proportional to 4,923,512 and 10,238,416 is: 21,290,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923,512 : 10,238,416 = 10,238,416 : x
  2. Step 2: Convert to fraction form
    4,923,512/10,238,416 = 10,238,416/x
  3. Step 3: Cross multiply
    4,923,512x = 10,238,416 × 10,238,416
  4. Step 4: Simplify right side
    4,923,512x = 104,825,162,189,056
  5. Step 5: Solve for x
    x = 104,825,162,189,056/4,923,512
  6. Step 6: Final answer
    x = 21,290,729.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.