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Finding the Third Proportional to 305,765,024 and 665,274,880

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Solution

The third proportional to 305,765,024 and 665,274,880 is: 1,447,486,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765,024 : 665,274,880 = 665,274,880 : x
  2. Step 2: Convert to fraction form
    305,765,024/665,274,880 = 665,274,880/x
  3. Step 3: Cross multiply
    305,765,024x = 665,274,880 × 665,274,880
  4. Step 4: Simplify right side
    305,765,024x = 442,590,665,959,014,400
  5. Step 5: Solve for x
    x = 442,590,665,959,014,400/305,765,024
  6. Step 6: Final answer
    x = 1,447,486,243.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.