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Finding the Third Proportional to 11,939,742 and 18,936,541.50

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Solution

The third proportional to 11,939,742 and 18,936,541.50 is: 30,033,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939,742 : 18,936,541.50 = 18,936,541.50 : x
  2. Step 2: Convert to fraction form
    11,939,742/18,936,541.50 = 18,936,541.50/x
  3. Step 3: Cross multiply
    11,939,742x = 18,936,541.50 × 18,936,541.50
  4. Step 4: Simplify right side
    11,939,742x = 358,592,603,981,222.25
  5. Step 5: Solve for x
    x = 358,592,603,981,222.25/11,939,742
  6. Step 6: Final answer
    x = 30,033,530.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.