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Finding the Third Proportional to 47,979,734 and 104,478,508

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Solution

The third proportional to 47,979,734 and 104,478,508 is: 227,507,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,979,734 : 104,478,508 = 104,478,508 : x
  2. Step 2: Convert to fraction form
    47,979,734/104,478,508 = 104,478,508/x
  3. Step 3: Cross multiply
    47,979,734x = 104,478,508 × 104,478,508
  4. Step 4: Simplify right side
    47,979,734x = 10,915,758,633,906,064
  5. Step 5: Solve for x
    x = 10,915,758,633,906,064/47,979,734
  6. Step 6: Final answer
    x = 227,507,693.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.