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Finding the Third Proportional to 5,423,935.78 and 11,583,469.41

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Solution

The third proportional to 5,423,935.78 and 11,583,469.41 is: 24,737,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423,935.78 : 11,583,469.41 = 11,583,469.41 : x
  2. Step 2: Convert to fraction form
    5,423,935.78/11,583,469.41 = 11,583,469.41/x
  3. Step 3: Cross multiply
    5,423,935.78x = 11,583,469.41 × 11,583,469.41
  4. Step 4: Simplify right side
    5,423,935.78x = 134,176,763,485,529.73
  5. Step 5: Solve for x
    x = 134,176,763,485,529.73/5,423,935.78
  6. Step 6: Final answer
    x = 24,737,896.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.