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Finding the Third Proportional to 520,077,168 and 1,083,200,976

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Solution

The third proportional to 520,077,168 and 1,083,200,976 is: 2,256,058,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,077,168 : 1,083,200,976 = 1,083,200,976 : x
  2. Step 2: Convert to fraction form
    520,077,168/1,083,200,976 = 1,083,200,976/x
  3. Step 3: Cross multiply
    520,077,168x = 1,083,200,976 × 1,083,200,976
  4. Step 4: Simplify right side
    520,077,168x = 1,173,324,354,407,352,576
  5. Step 5: Solve for x
    x = 1,173,324,354,407,352,576/520,077,168
  6. Step 6: Final answer
    x = 2,256,058,190.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.