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Finding the Third Proportional to 305,667,532 and 671,384,321

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Solution

The third proportional to 305,667,532 and 671,384,321 is: 1,474,664,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,667,532 : 671,384,321 = 671,384,321 : x
  2. Step 2: Convert to fraction form
    305,667,532/671,384,321 = 671,384,321/x
  3. Step 3: Cross multiply
    305,667,532x = 671,384,321 × 671,384,321
  4. Step 4: Simplify right side
    305,667,532x = 450,756,906,484,631,040
  5. Step 5: Solve for x
    x = 450,756,906,484,631,040/305,667,532
  6. Step 6: Final answer
    x = 1,474,664,003.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.