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Finding the Third Proportional to 10,013,149 and 20,557,121

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Solution

The third proportional to 10,013,149 and 20,557,121 is: 42,204,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,149 : 20,557,121 = 20,557,121 : x
  2. Step 2: Convert to fraction form
    10,013,149/20,557,121 = 20,557,121/x
  3. Step 3: Cross multiply
    10,013,149x = 20,557,121 × 20,557,121
  4. Step 4: Simplify right side
    10,013,149x = 422,595,223,808,641
  5. Step 5: Solve for x
    x = 422,595,223,808,641/10,013,149
  6. Step 6: Final answer
    x = 42,204,028.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.