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Finding the Third Proportional to 856,627,714,898 and 1,295,958,978,508

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Solution

The third proportional to 856,627,714,898 and 1,295,958,978,508 is: 1,960,606,275,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,627,714,898 : 1,295,958,978,508 = 1,295,958,978,508 : x
  2. Step 2: Convert to fraction form
    856,627,714,898/1,295,958,978,508 = 1,295,958,978,508/x
  3. Step 3: Cross multiply
    856,627,714,898x = 1,295,958,978,508 × 1,295,958,978,508
  4. Step 4: Simplify right side
    856,627,714,898x = 1,679,509,673,975,498,825,269,248
  5. Step 5: Solve for x
    x = 1,679,509,673,975,498,825,269,248/856,627,714,898
  6. Step 6: Final answer
    x = 1,960,606,275,942.73

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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.