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Finding the Third Proportional to 5,726,491.50 and 12,272,713

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Solution

The third proportional to 5,726,491.50 and 12,272,713 is: 26,302,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726,491.50 : 12,272,713 = 12,272,713 : x
  2. Step 2: Convert to fraction form
    5,726,491.50/12,272,713 = 12,272,713/x
  3. Step 3: Cross multiply
    5,726,491.50x = 12,272,713 × 12,272,713
  4. Step 4: Simplify right side
    5,726,491.50x = 150,619,484,380,369
  5. Step 5: Solve for x
    x = 150,619,484,380,369/5,726,491.50
  6. Step 6: Final answer
    x = 26,302,227.88

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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.