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Finding the Third Proportional to 13,677,568 and 29,624,816

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Solution

The third proportional to 13,677,568 and 29,624,816 is: 64,165,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,568 : 29,624,816 = 29,624,816 : x
  2. Step 2: Convert to fraction form
    13,677,568/29,624,816 = 29,624,816/x
  3. Step 3: Cross multiply
    13,677,568x = 29,624,816 × 29,624,816
  4. Step 4: Simplify right side
    13,677,568x = 877,629,723,033,856
  5. Step 5: Solve for x
    x = 877,629,723,033,856/13,677,568
  6. Step 6: Final answer
    x = 64,165,626.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.