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Finding the Third Proportional to 80,297,384,799 and 121,480,501,674

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Solution

The third proportional to 80,297,384,799 and 121,480,501,674 is: 183,785,715,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,297,384,799 : 121,480,501,674 = 121,480,501,674 : x
  2. Step 2: Convert to fraction form
    80,297,384,799/121,480,501,674 = 121,480,501,674/x
  3. Step 3: Cross multiply
    80,297,384,799x = 121,480,501,674 × 121,480,501,674
  4. Step 4: Simplify right side
    80,297,384,799x = 14,757,512,286,966,716,039,168
  5. Step 5: Solve for x
    x = 14,757,512,286,966,716,039,168/80,297,384,799
  6. Step 6: Final answer
    x = 183,785,715,112.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.