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Finding the Third Proportional to 271,754,459,183 and 405,275,065,342

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Solution

The third proportional to 271,754,459,183 and 405,275,065,342 is: 604,398,099,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,754,459,183 : 405,275,065,342 = 405,275,065,342 : x
  2. Step 2: Convert to fraction form
    271,754,459,183/405,275,065,342 = 405,275,065,342/x
  3. Step 3: Cross multiply
    271,754,459,183x = 405,275,065,342 × 405,275,065,342
  4. Step 4: Simplify right side
    271,754,459,183x = 164,247,878,587,962,353,516,544
  5. Step 5: Solve for x
    x = 164,247,878,587,962,353,516,544/271,754,459,183
  6. Step 6: Final answer
    x = 604,398,099,231.77

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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.