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Finding the Third Proportional to 8,410,542 and 12,782,034

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Solution

The third proportional to 8,410,542 and 12,782,034 is: 19,425,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410,542 : 12,782,034 = 12,782,034 : x
  2. Step 2: Convert to fraction form
    8,410,542/12,782,034 = 12,782,034/x
  3. Step 3: Cross multiply
    8,410,542x = 12,782,034 × 12,782,034
  4. Step 4: Simplify right side
    8,410,542x = 163,380,393,177,156
  5. Step 5: Solve for x
    x = 163,380,393,177,156/8,410,542
  6. Step 6: Final answer
    x = 19,425,667.59

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