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Finding the Third Proportional to 3,031,945,599,600 and 6,741,790,960,608

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Solution

The third proportional to 3,031,945,599,600 and 6,741,790,960,608 is: 14,990,950,155,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,945,599,600 : 6,741,790,960,608 = 6,741,790,960,608 : x
  2. Step 2: Convert to fraction form
    3,031,945,599,600/6,741,790,960,608 = 6,741,790,960,608/x
  3. Step 3: Cross multiply
    3,031,945,599,600x = 6,741,790,960,608 × 6,741,790,960,608
  4. Step 4: Simplify right side
    3,031,945,599,600x = 45,451,745,356,535,737,998,114,816
  5. Step 5: Solve for x
    x = 45,451,745,356,535,737,998,114,816/3,031,945,599,600
  6. Step 6: Final answer
    x = 14,990,950,155,085.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.