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Finding the Third Proportional to 1,246,120,216 and 2,659,027,206

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Solution

The third proportional to 1,246,120,216 and 2,659,027,206 is: 5,673,951,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,120,216 : 2,659,027,206 = 2,659,027,206 : x
  2. Step 2: Convert to fraction form
    1,246,120,216/2,659,027,206 = 2,659,027,206/x
  3. Step 3: Cross multiply
    1,246,120,216x = 2,659,027,206 × 2,659,027,206
  4. Step 4: Simplify right side
    1,246,120,216x = 7,070,425,682,248,166,400
  5. Step 5: Solve for x
    x = 7,070,425,682,248,166,400/1,246,120,216
  6. Step 6: Final answer
    x = 5,673,951,510.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.