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Finding the Third Proportional to 9,287,612,692 and 20,207,724,655

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Solution

The third proportional to 9,287,612,692 and 20,207,724,655 is: 43,967,394,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,612,692 : 20,207,724,655 = 20,207,724,655 : x
  2. Step 2: Convert to fraction form
    9,287,612,692/20,207,724,655 = 20,207,724,655/x
  3. Step 3: Cross multiply
    9,287,612,692x = 20,207,724,655 × 20,207,724,655
  4. Step 4: Simplify right side
    9,287,612,692x = 408,352,135,732,294,844,416
  5. Step 5: Solve for x
    x = 408,352,135,732,294,844,416/9,287,612,692
  6. Step 6: Final answer
    x = 43,967,394,988.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.