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Finding the Third Proportional to 9,260,868 and 10,368,036

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Solution

The third proportional to 9,260,868 and 10,368,036 is: 11,607,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,868 : 10,368,036 = 10,368,036 : x
  2. Step 2: Convert to fraction form
    9,260,868/10,368,036 = 10,368,036/x
  3. Step 3: Cross multiply
    9,260,868x = 10,368,036 × 10,368,036
  4. Step 4: Simplify right side
    9,260,868x = 107,496,170,497,296
  5. Step 5: Solve for x
    x = 107,496,170,497,296/9,260,868
  6. Step 6: Final answer
    x = 11,607,569.67

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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.