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Finding the Third Proportional to 2,766,532 and 5,669,616

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Solution

The third proportional to 2,766,532 and 5,669,616 is: 11,619,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766,532 : 5,669,616 = 5,669,616 : x
  2. Step 2: Convert to fraction form
    2,766,532/5,669,616 = 5,669,616/x
  3. Step 3: Cross multiply
    2,766,532x = 5,669,616 × 5,669,616
  4. Step 4: Simplify right side
    2,766,532x = 32,144,545,587,456
  5. Step 5: Solve for x
    x = 32,144,545,587,456/2,766,532
  6. Step 6: Final answer
    x = 11,619,076.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.