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Finding the Third Proportional to 10,013,133 and 20,557,092.38

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Solution

The third proportional to 10,013,133 and 20,557,092.38 is: 42,203,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,133 : 20,557,092.38 = 20,557,092.38 : x
  2. Step 2: Convert to fraction form
    10,013,133/20,557,092.38 = 20,557,092.38/x
  3. Step 3: Cross multiply
    10,013,133x = 20,557,092.38 × 20,557,092.38
  4. Step 4: Simplify right side
    10,013,133x = 422,594,046,914,283.12
  5. Step 5: Solve for x
    x = 422,594,046,914,283.12/10,013,133
  6. Step 6: Final answer
    x = 42,203,978.21

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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.