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Finding the Third Proportional to 6,326,148,456 and 13,175,907,722

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Solution

The third proportional to 6,326,148,456 and 13,175,907,722 is: 27,442,375,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326,148,456 : 13,175,907,722 = 13,175,907,722 : x
  2. Step 2: Convert to fraction form
    6,326,148,456/13,175,907,722 = 13,175,907,722/x
  3. Step 3: Cross multiply
    6,326,148,456x = 13,175,907,722 × 13,175,907,722
  4. Step 4: Simplify right side
    6,326,148,456x = 173,604,544,298,659,217,408
  5. Step 5: Solve for x
    x = 173,604,544,298,659,217,408/6,326,148,456
  6. Step 6: Final answer
    x = 27,442,375,958.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.