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Finding the Third Proportional to 271,754,459,298 and 405,275,065,440

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Solution

The third proportional to 271,754,459,298 and 405,275,065,440 is: 604,398,099,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,754,459,298 : 405,275,065,440 = 405,275,065,440 : x
  2. Step 2: Convert to fraction form
    271,754,459,298/405,275,065,440 = 405,275,065,440/x
  3. Step 3: Cross multiply
    271,754,459,298x = 405,275,065,440 × 405,275,065,440
  4. Step 4: Simplify right side
    271,754,459,298x = 164,247,878,667,396,297,261,056
  5. Step 5: Solve for x
    x = 164,247,878,667,396,297,261,056/271,754,459,298
  6. Step 6: Final answer
    x = 604,398,099,268.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.