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Finding the Third Proportional to 10,687,846 and 17,690,011

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Solution

The third proportional to 10,687,846 and 17,690,011 is: 29,279,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687,846 : 17,690,011 = 17,690,011 : x
  2. Step 2: Convert to fraction form
    10,687,846/17,690,011 = 17,690,011/x
  3. Step 3: Cross multiply
    10,687,846x = 17,690,011 × 17,690,011
  4. Step 4: Simplify right side
    10,687,846x = 312,936,489,180,121
  5. Step 5: Solve for x
    x = 312,936,489,180,121/10,687,846
  6. Step 6: Final answer
    x = 29,279,659.27

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.