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Finding the Third Proportional to 2,656,714 and 5,502,467

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Solution

The third proportional to 2,656,714 and 5,502,467 is: 11,396,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,714 : 5,502,467 = 5,502,467 : x
  2. Step 2: Convert to fraction form
    2,656,714/5,502,467 = 5,502,467/x
  3. Step 3: Cross multiply
    2,656,714x = 5,502,467 × 5,502,467
  4. Step 4: Simplify right side
    2,656,714x = 30,277,143,086,089
  5. Step 5: Solve for x
    x = 30,277,143,086,089/2,656,714
  6. Step 6: Final answer
    x = 11,396,463.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.