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Finding the Third Proportional to 13,677,753 and 20,798,768

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Solution

The third proportional to 13,677,753 and 20,798,768 is: 31,627,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677,753 : 20,798,768 = 20,798,768 : x
  2. Step 2: Convert to fraction form
    13,677,753/20,798,768 = 20,798,768/x
  3. Step 3: Cross multiply
    13,677,753x = 20,798,768 × 20,798,768
  4. Step 4: Simplify right side
    13,677,753x = 432,588,750,317,824
  5. Step 5: Solve for x
    x = 432,588,750,317,824/13,677,753
  6. Step 6: Final answer
    x = 31,627,179.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.