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Finding the Third Proportional to 10,982,910 and 22,874,865

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Solution

The third proportional to 10,982,910 and 22,874,865 is: 47,643,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982,910 : 22,874,865 = 22,874,865 : x
  2. Step 2: Convert to fraction form
    10,982,910/22,874,865 = 22,874,865/x
  3. Step 3: Cross multiply
    10,982,910x = 22,874,865 × 22,874,865
  4. Step 4: Simplify right side
    10,982,910x = 523,259,448,768,225
  5. Step 5: Solve for x
    x = 523,259,448,768,225/10,982,910
  6. Step 6: Final answer
    x = 47,643,060.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.