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Finding the Third Proportional to 538,808,338 and 1,163,836,961

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Solution

The third proportional to 538,808,338 and 1,163,836,961 is: 2,513,911,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808,338 : 1,163,836,961 = 1,163,836,961 : x
  2. Step 2: Convert to fraction form
    538,808,338/1,163,836,961 = 1,163,836,961/x
  3. Step 3: Cross multiply
    538,808,338x = 1,163,836,961 × 1,163,836,961
  4. Step 4: Simplify right side
    538,808,338x = 1,354,516,471,789,715,456
  5. Step 5: Solve for x
    x = 1,354,516,471,789,715,456/538,808,338
  6. Step 6: Final answer
    x = 2,513,911,489.97

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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.