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Finding the Third Proportional to 10,422,027 and 22,964,346

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Solution

The third proportional to 10,422,027 and 22,964,346 is: 50,600,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,027 : 22,964,346 = 22,964,346 : x
  2. Step 2: Convert to fraction form
    10,422,027/22,964,346 = 22,964,346/x
  3. Step 3: Cross multiply
    10,422,027x = 22,964,346 × 22,964,346
  4. Step 4: Simplify right side
    10,422,027x = 527,361,187,207,716
  5. Step 5: Solve for x
    x = 527,361,187,207,716/10,422,027
  6. Step 6: Final answer
    x = 50,600,635.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.