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Finding the Third Proportional to 538,493,308 and 1,179,138,514

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Solution

The third proportional to 538,493,308 and 1,179,138,514 is: 2,581,958,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,493,308 : 1,179,138,514 = 1,179,138,514 : x
  2. Step 2: Convert to fraction form
    538,493,308/1,179,138,514 = 1,179,138,514/x
  3. Step 3: Cross multiply
    538,493,308x = 1,179,138,514 × 1,179,138,514
  4. Step 4: Simplify right side
    538,493,308x = 1,390,367,635,198,128,128
  5. Step 5: Solve for x
    x = 1,390,367,635,198,128,128/538,493,308
  6. Step 6: Final answer
    x = 2,581,958,985.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.