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Finding the Third Proportional to 538,808,132 and 1,163,836,552

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Solution

The third proportional to 538,808,132 and 1,163,836,552 is: 2,513,910,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808,132 : 1,163,836,552 = 1,163,836,552 : x
  2. Step 2: Convert to fraction form
    538,808,132/1,163,836,552 = 1,163,836,552/x
  3. Step 3: Cross multiply
    538,808,132x = 1,163,836,552 × 1,163,836,552
  4. Step 4: Simplify right side
    538,808,132x = 1,354,515,519,771,248,640
  5. Step 5: Solve for x
    x = 1,354,515,519,771,248,640/538,808,132
  6. Step 6: Final answer
    x = 2,513,910,684.20

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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.