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Finding the Third Proportional to 10,850,412 and 16,785,831

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Solution

The third proportional to 10,850,412 and 16,785,831 is: 25,968,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850,412 : 16,785,831 = 16,785,831 : x
  2. Step 2: Convert to fraction form
    10,850,412/16,785,831 = 16,785,831/x
  3. Step 3: Cross multiply
    10,850,412x = 16,785,831 × 16,785,831
  4. Step 4: Simplify right side
    10,850,412x = 281,764,122,360,561
  5. Step 5: Solve for x
    x = 281,764,122,360,561/10,850,412
  6. Step 6: Final answer
    x = 25,968,057.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.