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Finding the Third Proportional to 11,538,074 and 25,219,406

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Solution

The third proportional to 11,538,074 and 25,219,406 is: 55,123,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538,074 : 25,219,406 = 25,219,406 : x
  2. Step 2: Convert to fraction form
    11,538,074/25,219,406 = 25,219,406/x
  3. Step 3: Cross multiply
    11,538,074x = 25,219,406 × 25,219,406
  4. Step 4: Simplify right side
    11,538,074x = 636,018,438,992,836
  5. Step 5: Solve for x
    x = 636,018,438,992,836/11,538,074
  6. Step 6: Final answer
    x = 55,123,449.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.