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Finding the Third Proportional to 11,505,136.50 and 24,605,964

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Solution

The third proportional to 11,505,136.50 and 24,605,964 is: 52,624,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505,136.50 : 24,605,964 = 24,605,964 : x
  2. Step 2: Convert to fraction form
    11,505,136.50/24,605,964 = 24,605,964/x
  3. Step 3: Cross multiply
    11,505,136.50x = 24,605,964 × 24,605,964
  4. Step 4: Simplify right side
    11,505,136.50x = 605,453,464,369,296
  5. Step 5: Solve for x
    x = 605,453,464,369,296/11,505,136.50
  6. Step 6: Final answer
    x = 52,624,622.43

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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.