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Finding the Third Proportional to 10,850,400 and 16,415,288

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Solution

The third proportional to 10,850,400 and 16,415,288 is: 24,834,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850,400 : 16,415,288 = 16,415,288 : x
  2. Step 2: Convert to fraction form
    10,850,400/16,415,288 = 16,415,288/x
  3. Step 3: Cross multiply
    10,850,400x = 16,415,288 × 16,415,288
  4. Step 4: Simplify right side
    10,850,400x = 269,461,680,122,944
  5. Step 5: Solve for x
    x = 269,461,680,122,944/10,850,400
  6. Step 6: Final answer
    x = 24,834,262.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.