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Finding the Third Proportional to 10,938,204 and 23,844,600

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Solution

The third proportional to 10,938,204 and 23,844,600 is: 51,979,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938,204 : 23,844,600 = 23,844,600 : x
  2. Step 2: Convert to fraction form
    10,938,204/23,844,600 = 23,844,600/x
  3. Step 3: Cross multiply
    10,938,204x = 23,844,600 × 23,844,600
  4. Step 4: Simplify right side
    10,938,204x = 568,564,949,160,000
  5. Step 5: Solve for x
    x = 568,564,949,160,000/10,938,204
  6. Step 6: Final answer
    x = 51,979,735.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.