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Finding the Third Proportional to 1,068,214,224 and 2,277,524,944

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Solution

The third proportional to 1,068,214,224 and 2,277,524,944 is: 4,855,879,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,214,224 : 2,277,524,944 = 2,277,524,944 : x
  2. Step 2: Convert to fraction form
    1,068,214,224/2,277,524,944 = 2,277,524,944/x
  3. Step 3: Cross multiply
    1,068,214,224x = 2,277,524,944 × 2,277,524,944
  4. Step 4: Simplify right side
    1,068,214,224x = 5,187,119,870,542,202,880
  5. Step 5: Solve for x
    x = 5,187,119,870,542,202,880/1,068,214,224
  6. Step 6: Final answer
    x = 4,855,879,798.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.