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Finding the Third Proportional to 10,694,540 and 23,093,600

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Solution

The third proportional to 10,694,540 and 23,093,600 is: 49,867,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,540 : 23,093,600 = 23,093,600 : x
  2. Step 2: Convert to fraction form
    10,694,540/23,093,600 = 23,093,600/x
  3. Step 3: Cross multiply
    10,694,540x = 23,093,600 × 23,093,600
  4. Step 4: Simplify right side
    10,694,540x = 533,314,360,960,000
  5. Step 5: Solve for x
    x = 533,314,360,960,000/10,694,540
  6. Step 6: Final answer
    x = 49,867,910.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.