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Finding the Third Proportional to 13,677,450 and 29,624,593

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Solution

The third proportional to 13,677,450 and 29,624,593 is: 64,165,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,450 : 29,624,593 = 29,624,593 : x
  2. Step 2: Convert to fraction form
    13,677,450/29,624,593 = 29,624,593/x
  3. Step 3: Cross multiply
    13,677,450x = 29,624,593 × 29,624,593
  4. Step 4: Simplify right side
    13,677,450x = 877,616,510,415,649
  5. Step 5: Solve for x
    x = 877,616,510,415,649/13,677,450
  6. Step 6: Final answer
    x = 64,165,214.31

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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.