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Finding the Third Proportional to 5,138,046 and 11,191,467

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Solution

The third proportional to 5,138,046 and 11,191,467 is: 24,376,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138,046 : 11,191,467 = 11,191,467 : x
  2. Step 2: Convert to fraction form
    5,138,046/11,191,467 = 11,191,467/x
  3. Step 3: Cross multiply
    5,138,046x = 11,191,467 × 11,191,467
  4. Step 4: Simplify right side
    5,138,046x = 125,248,933,612,089
  5. Step 5: Solve for x
    x = 125,248,933,612,089/5,138,046
  6. Step 6: Final answer
    x = 24,376,763.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.