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Finding the Third Proportional to 4,269,419 and 9,149,010

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Solution

The third proportional to 4,269,419 and 9,149,010 is: 19,605,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269,419 : 9,149,010 = 9,149,010 : x
  2. Step 2: Convert to fraction form
    4,269,419/9,149,010 = 9,149,010/x
  3. Step 3: Cross multiply
    4,269,419x = 9,149,010 × 9,149,010
  4. Step 4: Simplify right side
    4,269,419x = 83,704,383,980,100
  5. Step 5: Solve for x
    x = 83,704,383,980,100/4,269,419
  6. Step 6: Final answer
    x = 19,605,567.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.