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Finding the Third Proportional to 10,969,128 and 23,768,694

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Solution

The third proportional to 10,969,128 and 23,768,694 is: 51,503,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969,128 : 23,768,694 = 23,768,694 : x
  2. Step 2: Convert to fraction form
    10,969,128/23,768,694 = 23,768,694/x
  3. Step 3: Cross multiply
    10,969,128x = 23,768,694 × 23,768,694
  4. Step 4: Simplify right side
    10,969,128x = 564,950,814,465,636
  5. Step 5: Solve for x
    x = 564,950,814,465,636/10,969,128
  6. Step 6: Final answer
    x = 51,503,712.46

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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.