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Finding the Third Proportional to 14,138,847 and 21,619,140.75

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Solution

The third proportional to 14,138,847 and 21,619,140.75 is: 33,056,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138,847 : 21,619,140.75 = 21,619,140.75 : x
  2. Step 2: Convert to fraction form
    14,138,847/21,619,140.75 = 21,619,140.75/x
  3. Step 3: Cross multiply
    14,138,847x = 21,619,140.75 × 21,619,140.75
  4. Step 4: Simplify right side
    14,138,847x = 467,387,246,768,310.56
  5. Step 5: Solve for x
    x = 467,387,246,768,310.56/14,138,847
  6. Step 6: Final answer
    x = 33,056,956.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.