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Finding the Third Proportional to 6,923,821 and 16,027,392

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Solution

The third proportional to 6,923,821 and 16,027,392 is: 37,100,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923,821 : 16,027,392 = 16,027,392 : x
  2. Step 2: Convert to fraction form
    6,923,821/16,027,392 = 16,027,392/x
  3. Step 3: Cross multiply
    6,923,821x = 16,027,392 × 16,027,392
  4. Step 4: Simplify right side
    6,923,821x = 256,877,294,321,664
  5. Step 5: Solve for x
    x = 256,877,294,321,664/6,923,821
  6. Step 6: Final answer
    x = 37,100,510.59

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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.