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Finding the Third Proportional to 4,212,867 and 9,065,643

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Solution

The third proportional to 4,212,867 and 9,065,643 is: 19,508,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,867 : 9,065,643 = 9,065,643 : x
  2. Step 2: Convert to fraction form
    4,212,867/9,065,643 = 9,065,643/x
  3. Step 3: Cross multiply
    4,212,867x = 9,065,643 × 9,065,643
  4. Step 4: Simplify right side
    4,212,867x = 82,185,883,003,449
  5. Step 5: Solve for x
    x = 82,185,883,003,449/4,212,867
  6. Step 6: Final answer
    x = 19,508,302.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.