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Finding the Third Proportional to 47,147,190 and 70,896,243.75

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Solution

The third proportional to 47,147,190 and 70,896,243.75 is: 106,608,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,147,190 : 70,896,243.75 = 70,896,243.75 : x
  2. Step 2: Convert to fraction form
    47,147,190/70,896,243.75 = 70,896,243.75/x
  3. Step 3: Cross multiply
    47,147,190x = 70,896,243.75 × 70,896,243.75
  4. Step 4: Simplify right side
    47,147,190x = 5,026,277,377,859,414
  5. Step 5: Solve for x
    x = 5,026,277,377,859,414/47,147,190
  6. Step 6: Final answer
    x = 106,608,206.72

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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.