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Finding the Third Proportional to 11,993,325.75 and 18,974,499.75

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Solution

The third proportional to 11,993,325.75 and 18,974,499.75 is: 30,019,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993,325.75 : 18,974,499.75 = 18,974,499.75 : x
  2. Step 2: Convert to fraction form
    11,993,325.75/18,974,499.75 = 18,974,499.75/x
  3. Step 3: Cross multiply
    11,993,325.75x = 18,974,499.75 × 18,974,499.75
  4. Step 4: Simplify right side
    11,993,325.75x = 360,031,640,762,750.06
  5. Step 5: Solve for x
    x = 360,031,640,762,750.06/11,993,325.75
  6. Step 6: Final answer
    x = 30,019,333.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.