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Finding the Third Proportional to 281,340,360 and 599,841,936

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Solution

The third proportional to 281,340,360 and 599,841,936 is: 1,278,914,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,340,360 : 599,841,936 = 599,841,936 : x
  2. Step 2: Convert to fraction form
    281,340,360/599,841,936 = 599,841,936/x
  3. Step 3: Cross multiply
    281,340,360x = 599,841,936 × 599,841,936
  4. Step 4: Simplify right side
    281,340,360x = 359,810,348,184,228,096
  5. Step 5: Solve for x
    x = 359,810,348,184,228,096/281,340,360
  6. Step 6: Final answer
    x = 1,278,914,792.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.