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Finding the Third Proportional to 6,787,938,578 and 14,613,285,519

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Solution

The third proportional to 6,787,938,578 and 14,613,285,519 is: 31,459,936,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,938,578 : 14,613,285,519 = 14,613,285,519 : x
  2. Step 2: Convert to fraction form
    6,787,938,578/14,613,285,519 = 14,613,285,519/x
  3. Step 3: Cross multiply
    6,787,938,578x = 14,613,285,519 × 14,613,285,519
  4. Step 4: Simplify right side
    6,787,938,578x = 213,548,113,659,815,100,416
  5. Step 5: Solve for x
    x = 213,548,113,659,815,100,416/6,787,938,578
  6. Step 6: Final answer
    x = 31,459,936,062.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.