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Finding the Third Proportional to 13,677,512 and 29,624,716

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Solution

The third proportional to 13,677,512 and 29,624,716 is: 64,165,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,512 : 29,624,716 = 29,624,716 : x
  2. Step 2: Convert to fraction form
    13,677,512/29,624,716 = 29,624,716/x
  3. Step 3: Cross multiply
    13,677,512x = 29,624,716 × 29,624,716
  4. Step 4: Simplify right side
    13,677,512x = 877,623,798,080,656
  5. Step 5: Solve for x
    x = 877,623,798,080,656/13,677,512
  6. Step 6: Final answer
    x = 64,165,456.27

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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.