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Finding the Third Proportional to 10,637,568 and 21,902,400

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Solution

The third proportional to 10,637,568 and 21,902,400 is: 45,096,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637,568 : 21,902,400 = 21,902,400 : x
  2. Step 2: Convert to fraction form
    10,637,568/21,902,400 = 21,902,400/x
  3. Step 3: Cross multiply
    10,637,568x = 21,902,400 × 21,902,400
  4. Step 4: Simplify right side
    10,637,568x = 479,715,125,760,000
  5. Step 5: Solve for x
    x = 479,715,125,760,000/10,637,568
  6. Step 6: Final answer
    x = 45,096,315.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.