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Finding the Third Proportional to 332,412,848,730 and 674,075,473,263

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Solution

The third proportional to 332,412,848,730 and 674,075,473,263 is: 1,366,907,883,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,412,848,730 : 674,075,473,263 = 674,075,473,263 : x
  2. Step 2: Convert to fraction form
    332,412,848,730/674,075,473,263 = 674,075,473,263/x
  3. Step 3: Cross multiply
    332,412,848,730x = 674,075,473,263 × 674,075,473,263
  4. Step 4: Simplify right side
    332,412,848,730x = 454,377,743,654,737,395,318,784
  5. Step 5: Solve for x
    x = 454,377,743,654,737,395,318,784/332,412,848,730
  6. Step 6: Final answer
    x = 1,366,907,883,948.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.