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Finding the Third Proportional to 6,024,958.45 and 9,178,608.66

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Solution

The third proportional to 6,024,958.45 and 9,178,608.66 is: 13,982,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,958.45 : 9,178,608.66 = 9,178,608.66 : x
  2. Step 2: Convert to fraction form
    6,024,958.45/9,178,608.66 = 9,178,608.66/x
  3. Step 3: Cross multiply
    6,024,958.45x = 9,178,608.66 × 9,178,608.66
  4. Step 4: Simplify right side
    6,024,958.45x = 84,246,856,864,587.44
  5. Step 5: Solve for x
    x = 84,246,856,864,587.44/6,024,958.45
  6. Step 6: Final answer
    x = 13,982,977.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.