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Finding the Third Proportional to 40,409,310,795,890 and 82,960,836,875,811

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Solution

The third proportional to 40,409,310,795,890 and 82,960,836,875,811 is: 170,319,669,392,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,409,310,795,890 : 82,960,836,875,811 = 82,960,836,875,811 : x
  2. Step 2: Convert to fraction form
    40,409,310,795,890/82,960,836,875,811 = 82,960,836,875,811/x
  3. Step 3: Cross multiply
    40,409,310,795,890x = 82,960,836,875,811 × 82,960,836,875,811
  4. Step 4: Simplify right side
    40,409,310,795,890x = 6,882,500,455,134,922,276,763,336,704
  5. Step 5: Solve for x
    x = 6,882,500,455,134,922,276,763,336,704/40,409,310,795,890
  6. Step 6: Final answer
    x = 170,319,669,392,503.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.