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Finding the Third Proportional to 33,451,750.50 and 47,108,143.50

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Solution

The third proportional to 33,451,750.50 and 47,108,143.50 is: 66,339,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,451,750.50 : 47,108,143.50 = 47,108,143.50 : x
  2. Step 2: Convert to fraction form
    33,451,750.50/47,108,143.50 = 47,108,143.50/x
  3. Step 3: Cross multiply
    33,451,750.50x = 47,108,143.50 × 47,108,143.50
  4. Step 4: Simplify right side
    33,451,750.50x = 2,219,177,184,016,592.25
  5. Step 5: Solve for x
    x = 2,219,177,184,016,592.25/33,451,750.50
  6. Step 6: Final answer
    x = 66,339,642.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.