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Finding the Third Proportional to 8,574,234,997 and 17,853,097,200

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Solution

The third proportional to 8,574,234,997 and 17,853,097,200 is: 37,173,354,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574,234,997 : 17,853,097,200 = 17,853,097,200 : x
  2. Step 2: Convert to fraction form
    8,574,234,997/17,853,097,200 = 17,853,097,200/x
  3. Step 3: Cross multiply
    8,574,234,997x = 17,853,097,200 × 17,853,097,200
  4. Step 4: Simplify right side
    8,574,234,997x = 318,733,079,632,647,815,168
  5. Step 5: Solve for x
    x = 318,733,079,632,647,815,168/8,574,234,997
  6. Step 6: Final answer
    x = 37,173,354,794.24

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