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Finding the Third Proportional to 6,766,422 and 14,589,126

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Solution

The third proportional to 6,766,422 and 14,589,126 is: 31,455,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,422 : 14,589,126 = 14,589,126 : x
  2. Step 2: Convert to fraction form
    6,766,422/14,589,126 = 14,589,126/x
  3. Step 3: Cross multiply
    6,766,422x = 14,589,126 × 14,589,126
  4. Step 4: Simplify right side
    6,766,422x = 212,842,597,443,876
  5. Step 5: Solve for x
    x = 212,842,597,443,876/6,766,422
  6. Step 6: Final answer
    x = 31,455,708.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.