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Finding the Third Proportional to 6,923,823 and 16,027,398

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Solution

The third proportional to 6,923,823 and 16,027,398 is: 37,100,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923,823 : 16,027,398 = 16,027,398 : x
  2. Step 2: Convert to fraction form
    6,923,823/16,027,398 = 16,027,398/x
  3. Step 3: Cross multiply
    6,923,823x = 16,027,398 × 16,027,398
  4. Step 4: Simplify right side
    6,923,823x = 256,877,486,650,404
  5. Step 5: Solve for x
    x = 256,877,486,650,404/6,923,823
  6. Step 6: Final answer
    x = 37,100,527.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.