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Finding the Third Proportional to 3,647,877,814 and 7,397,262,114

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Solution

The third proportional to 3,647,877,814 and 7,397,262,114 is: 15,000,361,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,877,814 : 7,397,262,114 = 7,397,262,114 : x
  2. Step 2: Convert to fraction form
    3,647,877,814/7,397,262,114 = 7,397,262,114/x
  3. Step 3: Cross multiply
    3,647,877,814x = 7,397,262,114 × 7,397,262,114
  4. Step 4: Simplify right side
    3,647,877,814x = 54,719,486,783,219,752,960
  5. Step 5: Solve for x
    x = 54,719,486,783,219,752,960/3,647,877,814
  6. Step 6: Final answer
    x = 15,000,361,737.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.