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Finding the Third Proportional to 295,414,814 and 683,831,837

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Solution

The third proportional to 295,414,814 and 683,831,837 is: 1,582,946,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,414,814 : 683,831,837 = 683,831,837 : x
  2. Step 2: Convert to fraction form
    295,414,814/683,831,837 = 683,831,837/x
  3. Step 3: Cross multiply
    295,414,814x = 683,831,837 × 683,831,837
  4. Step 4: Simplify right side
    295,414,814x = 467,625,981,294,794,560
  5. Step 5: Solve for x
    x = 467,625,981,294,794,560/295,414,814
  6. Step 6: Final answer
    x = 1,582,946,958.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.