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Finding the Third Proportional to 327,848,325 and 535,290,136

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Solution

The third proportional to 327,848,325 and 535,290,136 is: 873,988,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,848,325 : 535,290,136 = 535,290,136 : x
  2. Step 2: Convert to fraction form
    327,848,325/535,290,136 = 535,290,136/x
  3. Step 3: Cross multiply
    327,848,325x = 535,290,136 × 535,290,136
  4. Step 4: Simplify right side
    327,848,325x = 286,535,529,698,898,496
  5. Step 5: Solve for x
    x = 286,535,529,698,898,496/327,848,325
  6. Step 6: Final answer
    x = 873,988,084.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.