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Finding the Third Proportional to 2,766,223 and 5,669,011

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Solution

The third proportional to 2,766,223 and 5,669,011 is: 11,617,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766,223 : 5,669,011 = 5,669,011 : x
  2. Step 2: Convert to fraction form
    2,766,223/5,669,011 = 5,669,011/x
  3. Step 3: Cross multiply
    2,766,223x = 5,669,011 × 5,669,011
  4. Step 4: Simplify right side
    2,766,223x = 32,137,685,718,121
  5. Step 5: Solve for x
    x = 32,137,685,718,121/2,766,223
  6. Step 6: Final answer
    x = 11,617,894.04

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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.