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Finding the Third Proportional to 12,783,760.50 and 27,464,865

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Solution

The third proportional to 12,783,760.50 and 27,464,865 is: 59,006,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783,760.50 : 27,464,865 = 27,464,865 : x
  2. Step 2: Convert to fraction form
    12,783,760.50/27,464,865 = 27,464,865/x
  3. Step 3: Cross multiply
    12,783,760.50x = 27,464,865 × 27,464,865
  4. Step 4: Simplify right side
    12,783,760.50x = 754,318,809,468,225
  5. Step 5: Solve for x
    x = 754,318,809,468,225/12,783,760.50
  6. Step 6: Final answer
    x = 59,006,018.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.