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Finding the Third Proportional to 24,740,644.50 and 51,178,400.25

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Solution

The third proportional to 24,740,644.50 and 51,178,400.25 is: 105,867,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740,644.50 : 51,178,400.25 = 51,178,400.25 : x
  2. Step 2: Convert to fraction form
    24,740,644.50/51,178,400.25 = 51,178,400.25/x
  3. Step 3: Cross multiply
    24,740,644.50x = 51,178,400.25 × 51,178,400.25
  4. Step 4: Simplify right side
    24,740,644.50x = 2,619,228,652,149,200
  5. Step 5: Solve for x
    x = 2,619,228,652,149,200/24,740,644.50
  6. Step 6: Final answer
    x = 105,867,438.18

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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.