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Finding the Third Proportional to 24,276,588.50 and 52,007,245.50

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Solution

The third proportional to 24,276,588.50 and 52,007,245.50 is: 111,414,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276,588.50 : 52,007,245.50 = 52,007,245.50 : x
  2. Step 2: Convert to fraction form
    24,276,588.50/52,007,245.50 = 52,007,245.50/x
  3. Step 3: Cross multiply
    24,276,588.50x = 52,007,245.50 × 52,007,245.50
  4. Step 4: Simplify right side
    24,276,588.50x = 2,704,753,584,497,270
  5. Step 5: Solve for x
    x = 2,704,753,584,497,270/24,276,588.50
  6. Step 6: Final answer
    x = 111,414,072.22

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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.