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Finding the Third Proportional to 4,945,325 and 10,422,009

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Solution

The third proportional to 4,945,325 and 10,422,009 is: 21,963,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945,325 : 10,422,009 = 10,422,009 : x
  2. Step 2: Convert to fraction form
    4,945,325/10,422,009 = 10,422,009/x
  3. Step 3: Cross multiply
    4,945,325x = 10,422,009 × 10,422,009
  4. Step 4: Simplify right side
    4,945,325x = 108,618,271,596,081
  5. Step 5: Solve for x
    x = 108,618,271,596,081/4,945,325
  6. Step 6: Final answer
    x = 21,963,828.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.