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Finding the Third Proportional to 9,489,216,042 and 19,763,848,876

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Solution

The third proportional to 9,489,216,042 and 19,763,848,876 is: 41,163,539,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489,216,042 : 19,763,848,876 = 19,763,848,876 : x
  2. Step 2: Convert to fraction form
    9,489,216,042/19,763,848,876 = 19,763,848,876/x
  3. Step 3: Cross multiply
    9,489,216,042x = 19,763,848,876 × 19,763,848,876
  4. Step 4: Simplify right side
    9,489,216,042x = 390,609,722,393,366,495,232
  5. Step 5: Solve for x
    x = 390,609,722,393,366,495,232/9,489,216,042
  6. Step 6: Final answer
    x = 41,163,539,818.73

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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.