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Finding the Third Proportional to 13,677,448 and 29,624,589

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Solution

The third proportional to 13,677,448 and 29,624,589 is: 64,165,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,448 : 29,624,589 = 29,624,589 : x
  2. Step 2: Convert to fraction form
    13,677,448/29,624,589 = 29,624,589/x
  3. Step 3: Cross multiply
    13,677,448x = 29,624,589 × 29,624,589
  4. Step 4: Simplify right side
    13,677,448x = 877,616,273,418,921
  5. Step 5: Solve for x
    x = 877,616,273,418,921/13,677,448
  6. Step 6: Final answer
    x = 64,165,206.36

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Why These Related Problems?

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