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Finding the Third Proportional to 7,661,171,937.09 and 10,783,917,092.67

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Solution

The third proportional to 7,661,171,937.09 and 10,783,917,092.67 is: 15,179,514,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,171,937.09 : 10,783,917,092.67 = 10,783,917,092.67 : x
  2. Step 2: Convert to fraction form
    7,661,171,937.09/10,783,917,092.67 = 10,783,917,092.67/x
  3. Step 3: Cross multiply
    7,661,171,937.09x = 10,783,917,092.67 × 10,783,917,092.67
  4. Step 4: Simplify right side
    7,661,171,937.09x = 116,292,867,861,623,341,056
  5. Step 5: Solve for x
    x = 116,292,867,861,623,341,056/7,661,171,937.09
  6. Step 6: Final answer
    x = 15,179,514,154.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.