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Finding the Third Proportional to 538,808,128 and 1,163,836,544

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Solution

The third proportional to 538,808,128 and 1,163,836,544 is: 2,513,910,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808,128 : 1,163,836,544 = 1,163,836,544 : x
  2. Step 2: Convert to fraction form
    538,808,128/1,163,836,544 = 1,163,836,544/x
  3. Step 3: Cross multiply
    538,808,128x = 1,163,836,544 × 1,163,836,544
  4. Step 4: Simplify right side
    538,808,128x = 1,354,515,501,149,863,936
  5. Step 5: Solve for x
    x = 1,354,515,501,149,863,936/538,808,128
  6. Step 6: Final answer
    x = 2,513,910,668.31

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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.