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Finding the Third Proportional to 6,303,649 and 9,179,911

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Solution

The third proportional to 6,303,649 and 9,179,911 is: 13,368,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303,649 : 9,179,911 = 9,179,911 : x
  2. Step 2: Convert to fraction form
    6,303,649/9,179,911 = 9,179,911/x
  3. Step 3: Cross multiply
    6,303,649x = 9,179,911 × 9,179,911
  4. Step 4: Simplify right side
    6,303,649x = 84,270,765,967,921
  5. Step 5: Solve for x
    x = 84,270,765,967,921/6,303,649
  6. Step 6: Final answer
    x = 13,368,568.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.