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Finding the Third Proportional to 10,700,289 and 23,192,874

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Solution

The third proportional to 10,700,289 and 23,192,874 is: 50,270,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700,289 : 23,192,874 = 23,192,874 : x
  2. Step 2: Convert to fraction form
    10,700,289/23,192,874 = 23,192,874/x
  3. Step 3: Cross multiply
    10,700,289x = 23,192,874 × 23,192,874
  4. Step 4: Simplify right side
    10,700,289x = 537,909,404,379,876
  5. Step 5: Solve for x
    x = 537,909,404,379,876/10,700,289
  6. Step 6: Final answer
    x = 50,270,549.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.