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Finding the Third Proportional to 10,013,146 and 20,557,114.75

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Solution

The third proportional to 10,013,146 and 20,557,114.75 is: 42,204,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,146 : 20,557,114.75 = 20,557,114.75 : x
  2. Step 2: Convert to fraction form
    10,013,146/20,557,114.75 = 20,557,114.75/x
  3. Step 3: Cross multiply
    10,013,146x = 20,557,114.75 × 20,557,114.75
  4. Step 4: Simplify right side
    10,013,146x = 422,594,966,844,667.56
  5. Step 5: Solve for x
    x = 422,594,966,844,667.56/10,013,146
  6. Step 6: Final answer
    x = 42,204,015.29

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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.