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Finding the Third Proportional to 9,260,867 and 10,368,035

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Solution

The third proportional to 9,260,867 and 10,368,035 is: 11,607,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,867 : 10,368,035 = 10,368,035 : x
  2. Step 2: Convert to fraction form
    9,260,867/10,368,035 = 10,368,035/x
  3. Step 3: Cross multiply
    9,260,867x = 10,368,035 × 10,368,035
  4. Step 4: Simplify right side
    9,260,867x = 107,496,149,761,225
  5. Step 5: Solve for x
    x = 107,496,149,761,225/9,260,867
  6. Step 6: Final answer
    x = 11,607,568.68

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.