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Finding the Third Proportional to 47,065,965 and 101,694,600

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Solution

The third proportional to 47,065,965 and 101,694,600 is: 219,729,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065,965 : 101,694,600 = 101,694,600 : x
  2. Step 2: Convert to fraction form
    47,065,965/101,694,600 = 101,694,600/x
  3. Step 3: Cross multiply
    47,065,965x = 101,694,600 × 101,694,600
  4. Step 4: Simplify right side
    47,065,965x = 10,341,791,669,160,000
  5. Step 5: Solve for x
    x = 10,341,791,669,160,000/47,065,965
  6. Step 6: Final answer
    x = 219,729,727.61

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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.