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Finding the Third Proportional to 332,586,920,072 and 682,805,241,676

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Solution

The third proportional to 332,586,920,072 and 682,805,241,676 is: 1,401,807,978,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,586,920,072 : 682,805,241,676 = 682,805,241,676 : x
  2. Step 2: Convert to fraction form
    332,586,920,072/682,805,241,676 = 682,805,241,676/x
  3. Step 3: Cross multiply
    332,586,920,072x = 682,805,241,676 × 682,805,241,676
  4. Step 4: Simplify right side
    332,586,920,072x = 466,222,998,060,220,779,855,872
  5. Step 5: Solve for x
    x = 466,222,998,060,220,779,855,872/332,586,920,072
  6. Step 6: Final answer
    x = 1,401,807,978,375.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.