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Finding the Third Proportional to 4,163,617 and 9,284,584

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Solution

The third proportional to 4,163,617 and 9,284,584 is: 20,703,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163,617 : 9,284,584 = 9,284,584 : x
  2. Step 2: Convert to fraction form
    4,163,617/9,284,584 = 9,284,584/x
  3. Step 3: Cross multiply
    4,163,617x = 9,284,584 × 9,284,584
  4. Step 4: Simplify right side
    4,163,617x = 86,203,500,053,056
  5. Step 5: Solve for x
    x = 86,203,500,053,056/4,163,617
  6. Step 6: Final answer
    x = 20,703,993.68

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.