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Finding the Third Proportional to 10,013,150 and 20,557,123

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Solution

The third proportional to 10,013,150 and 20,557,123 is: 42,204,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,150 : 20,557,123 = 20,557,123 : x
  2. Step 2: Convert to fraction form
    10,013,150/20,557,123 = 20,557,123/x
  3. Step 3: Cross multiply
    10,013,150x = 20,557,123 × 20,557,123
  4. Step 4: Simplify right side
    10,013,150x = 422,595,306,037,129
  5. Step 5: Solve for x
    x = 422,595,306,037,129/10,013,150
  6. Step 6: Final answer
    x = 42,204,032.30

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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.