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Finding the Third Proportional to 47,764,027 and 103,637,450

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Solution

The third proportional to 47,764,027 and 103,637,450 is: 224,870,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,027 : 103,637,450 = 103,637,450 : x
  2. Step 2: Convert to fraction form
    47,764,027/103,637,450 = 103,637,450/x
  3. Step 3: Cross multiply
    47,764,027x = 103,637,450 × 103,637,450
  4. Step 4: Simplify right side
    47,764,027x = 10,740,721,042,502,500
  5. Step 5: Solve for x
    x = 10,740,721,042,502,500/47,764,027
  6. Step 6: Final answer
    x = 224,870,508.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.