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Finding the Third Proportional to 1,822,019,121,818 and 3,918,245,856,244

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Solution

The third proportional to 1,822,019,121,818 and 3,918,245,856,244 is: 8,426,174,240,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,019,121,818 : 3,918,245,856,244 = 3,918,245,856,244 : x
  2. Step 2: Convert to fraction form
    1,822,019,121,818/3,918,245,856,244 = 3,918,245,856,244/x
  3. Step 3: Cross multiply
    1,822,019,121,818x = 3,918,245,856,244 × 3,918,245,856,244
  4. Step 4: Simplify right side
    1,822,019,121,818x = 15,352,650,589,973,277,512,302,592
  5. Step 5: Solve for x
    x = 15,352,650,589,973,277,512,302,592/1,822,019,121,818
  6. Step 6: Final answer
    x = 8,426,174,240,506.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.