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Finding the Third Proportional to 24,740,644 and 51,178,400

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Solution

The third proportional to 24,740,644 and 51,178,400 is: 105,867,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740,644 : 51,178,400 = 51,178,400 : x
  2. Step 2: Convert to fraction form
    24,740,644/51,178,400 = 51,178,400/x
  3. Step 3: Cross multiply
    24,740,644x = 51,178,400 × 51,178,400
  4. Step 4: Simplify right side
    24,740,644x = 2,619,228,626,560,000
  5. Step 5: Solve for x
    x = 2,619,228,626,560,000/24,740,644
  6. Step 6: Final answer
    x = 105,867,439.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.