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Finding the Third Proportional to 3,173,198,716,820 and 6,799,095,901,480

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Solution

The third proportional to 3,173,198,716,820 and 6,799,095,901,480 is: 14,568,172,119,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173,198,716,820 : 6,799,095,901,480 = 6,799,095,901,480 : x
  2. Step 2: Convert to fraction form
    3,173,198,716,820/6,799,095,901,480 = 6,799,095,901,480/x
  3. Step 3: Cross multiply
    3,173,198,716,820x = 6,799,095,901,480 × 6,799,095,901,480
  4. Step 4: Simplify right side
    3,173,198,716,820x = 46,227,705,077,522,135,416,569,856
  5. Step 5: Solve for x
    x = 46,227,705,077,522,135,416,569,856/3,173,198,716,820
  6. Step 6: Final answer
    x = 14,568,172,119,976.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.