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Finding the Third Proportional to 3,173,198,716,818 and 6,799,095,901,476

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Solution

The third proportional to 3,173,198,716,818 and 6,799,095,901,476 is: 14,568,172,119,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173,198,716,818 : 6,799,095,901,476 = 6,799,095,901,476 : x
  2. Step 2: Convert to fraction form
    3,173,198,716,818/6,799,095,901,476 = 6,799,095,901,476/x
  3. Step 3: Cross multiply
    3,173,198,716,818x = 6,799,095,901,476 × 6,799,095,901,476
  4. Step 4: Simplify right side
    3,173,198,716,818x = 46,227,705,077,467,743,950,733,312
  5. Step 5: Solve for x
    x = 46,227,705,077,467,743,950,733,312/3,173,198,716,818
  6. Step 6: Final answer
    x = 14,568,172,119,968.48

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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.