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Finding the Third Proportional to 755,082,536,380 and 1,617,867,968,216

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Solution

The third proportional to 755,082,536,380 and 1,617,867,968,216 is: 3,466,504,172,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,082,536,380 : 1,617,867,968,216 = 1,617,867,968,216 : x
  2. Step 2: Convert to fraction form
    755,082,536,380/1,617,867,968,216 = 1,617,867,968,216/x
  3. Step 3: Cross multiply
    755,082,536,380x = 1,617,867,968,216 × 1,617,867,968,216
  4. Step 4: Simplify right side
    755,082,536,380x = 2,617,496,762,579,368,099,708,928
  5. Step 5: Solve for x
    x = 2,617,496,762,579,368,099,708,928/755,082,536,380
  6. Step 6: Final answer
    x = 3,466,504,172,018.22

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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.