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Finding the Third Proportional to 6,942,433.50 and 10,407,008

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Solution

The third proportional to 6,942,433.50 and 10,407,008 is: 15,600,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942,433.50 : 10,407,008 = 10,407,008 : x
  2. Step 2: Convert to fraction form
    6,942,433.50/10,407,008 = 10,407,008/x
  3. Step 3: Cross multiply
    6,942,433.50x = 10,407,008 × 10,407,008
  4. Step 4: Simplify right side
    6,942,433.50x = 108,305,815,512,064
  5. Step 5: Solve for x
    x = 108,305,815,512,064/6,942,433.50
  6. Step 6: Final answer
    x = 15,600,554.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.