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Finding the Third Proportional to 1,080,679,536 and 2,548,542,600

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Solution

The third proportional to 1,080,679,536 and 2,548,542,600 is: 6,010,171,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,679,536 : 2,548,542,600 = 2,548,542,600 : x
  2. Step 2: Convert to fraction form
    1,080,679,536/2,548,542,600 = 2,548,542,600/x
  3. Step 3: Cross multiply
    1,080,679,536x = 2,548,542,600 × 2,548,542,600
  4. Step 4: Simplify right side
    1,080,679,536x = 6,495,069,384,014,759,936
  5. Step 5: Solve for x
    x = 6,495,069,384,014,759,936/1,080,679,536
  6. Step 6: Final answer
    x = 6,010,171,533.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.