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Finding the Third Proportional to 10,137,225.09 and 20,993,016.38

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Solution

The third proportional to 10,137,225.09 and 20,993,016.38 is: 43,474,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137,225.09 : 20,993,016.38 = 20,993,016.38 : x
  2. Step 2: Convert to fraction form
    10,137,225.09/20,993,016.38 = 20,993,016.38/x
  3. Step 3: Cross multiply
    10,137,225.09x = 20,993,016.38 × 20,993,016.38
  4. Step 4: Simplify right side
    10,137,225.09x = 440,706,736,521,018.12
  5. Step 5: Solve for x
    x = 440,706,736,521,018.12/10,137,225.09
  6. Step 6: Final answer
    x = 43,474,099.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.