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Finding the Third Proportional to 874,225,903 and 1,783,569,383

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Solution

The third proportional to 874,225,903 and 1,783,569,383 is: 3,638,784,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,225,903 : 1,783,569,383 = 1,783,569,383 : x
  2. Step 2: Convert to fraction form
    874,225,903/1,783,569,383 = 1,783,569,383/x
  3. Step 3: Cross multiply
    874,225,903x = 1,783,569,383 × 1,783,569,383
  4. Step 4: Simplify right side
    874,225,903x = 3,181,119,743,975,000,576
  5. Step 5: Solve for x
    x = 3,181,119,743,975,000,576/874,225,903
  6. Step 6: Final answer
    x = 3,638,784,589.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.