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Finding the Third Proportional to 274,276,944 and 585,751,512

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Solution

The third proportional to 274,276,944 and 585,751,512 is: 1,250,943,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,276,944 : 585,751,512 = 585,751,512 : x
  2. Step 2: Convert to fraction form
    274,276,944/585,751,512 = 585,751,512/x
  3. Step 3: Cross multiply
    274,276,944x = 585,751,512 × 585,751,512
  4. Step 4: Simplify right side
    274,276,944x = 343,104,833,810,286,144
  5. Step 5: Solve for x
    x = 343,104,833,810,286,144/274,276,944
  6. Step 6: Final answer
    x = 1,250,943,038.84

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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.