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Finding the Third Proportional to 305,765,056 and 665,274,944

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Solution

The third proportional to 305,765,056 and 665,274,944 is: 1,447,486,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,765,056 : 665,274,944 = 665,274,944 : x
  2. Step 2: Convert to fraction form
    305,765,056/665,274,944 = 665,274,944/x
  3. Step 3: Cross multiply
    305,765,056x = 665,274,944 × 665,274,944
  4. Step 4: Simplify right side
    305,765,056x = 442,590,751,114,203,136
  5. Step 5: Solve for x
    x = 442,590,751,114,203,136/305,765,056
  6. Step 6: Final answer
    x = 1,447,486,370.43

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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.