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Finding the Third Proportional to 6,392,648,842,906.50 and 9,236,273,639,604.60

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Solution

The third proportional to 6,392,648,842,906.50 and 9,236,273,639,604.60 is: 13,344,820,408,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392,648,842,906.50 : 9,236,273,639,604.60 = 9,236,273,639,604.60 : x
  2. Step 2: Convert to fraction form
    6,392,648,842,906.50/9,236,273,639,604.60 = 9,236,273,639,604.60/x
  3. Step 3: Cross multiply
    6,392,648,842,906.50x = 9,236,273,639,604.60 × 9,236,273,639,604.60
  4. Step 4: Simplify right side
    6,392,648,842,906.50x = 85,308,750,745,654,792,558,739,456
  5. Step 5: Solve for x
    x = 85,308,750,745,654,792,558,739,456/6,392,648,842,906.50
  6. Step 6: Final answer
    x = 13,344,820,408,885.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.