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Finding the Third Proportional to 538,493,300.44 and 1,179,138,500.44

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Solution

The third proportional to 538,493,300.44 and 1,179,138,500.44 is: 2,581,958,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,493,300.44 : 1,179,138,500.44 = 1,179,138,500.44 : x
  2. Step 2: Convert to fraction form
    538,493,300.44/1,179,138,500.44 = 1,179,138,500.44/x
  3. Step 3: Cross multiply
    538,493,300.44x = 1,179,138,500.44 × 1,179,138,500.44
  4. Step 4: Simplify right side
    538,493,300.44x = 1,390,367,603,213,996,288
  5. Step 5: Solve for x
    x = 1,390,367,603,213,996,288/538,493,300.44
  6. Step 6: Final answer
    x = 2,581,958,962.32

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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.