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Finding the Third Proportional to 10,865,040 and 23,025,467

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Solution

The third proportional to 10,865,040 and 23,025,467 is: 48,796,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,040 : 23,025,467 = 23,025,467 : x
  2. Step 2: Convert to fraction form
    10,865,040/23,025,467 = 23,025,467/x
  3. Step 3: Cross multiply
    10,865,040x = 23,025,467 × 23,025,467
  4. Step 4: Simplify right side
    10,865,040x = 530,172,130,568,089
  5. Step 5: Solve for x
    x = 530,172,130,568,089/10,865,040
  6. Step 6: Final answer
    x = 48,796,150.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.