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Finding the Third Proportional to 8,388,397,214 and 12,570,325,292

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Solution

The third proportional to 8,388,397,214 and 12,570,325,292 is: 18,837,100,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,397,214 : 12,570,325,292 = 12,570,325,292 : x
  2. Step 2: Convert to fraction form
    8,388,397,214/12,570,325,292 = 12,570,325,292/x
  3. Step 3: Cross multiply
    8,388,397,214x = 12,570,325,292 × 12,570,325,292
  4. Step 4: Simplify right side
    8,388,397,214x = 158,013,077,946,694,893,568
  5. Step 5: Solve for x
    x = 158,013,077,946,694,893,568/8,388,397,214
  6. Step 6: Final answer
    x = 18,837,100,093.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.