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Finding the Third Proportional to 47,065,896 and 101,694,469.50

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Solution

The third proportional to 47,065,896 and 101,694,469.50 is: 219,729,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065,896 : 101,694,469.50 = 101,694,469.50 : x
  2. Step 2: Convert to fraction form
    47,065,896/101,694,469.50 = 101,694,469.50/x
  3. Step 3: Cross multiply
    47,065,896x = 101,694,469.50 × 101,694,469.50
  4. Step 4: Simplify right side
    47,065,896x = 10,341,765,126,886,430
  5. Step 5: Solve for x
    x = 10,341,765,126,886,430/47,065,896
  6. Step 6: Final answer
    x = 219,729,485.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.