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Finding the Third Proportional to 1,999,809,372 and 4,351,666,017

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Solution

The third proportional to 1,999,809,372 and 4,351,666,017 is: 9,469,401,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,809,372 : 4,351,666,017 = 4,351,666,017 : x
  2. Step 2: Convert to fraction form
    1,999,809,372/4,351,666,017 = 4,351,666,017/x
  3. Step 3: Cross multiply
    1,999,809,372x = 4,351,666,017 × 4,351,666,017
  4. Step 4: Simplify right side
    1,999,809,372x = 18,936,997,123,512,643,584
  5. Step 5: Solve for x
    x = 18,936,997,123,512,643,584/1,999,809,372
  6. Step 6: Final answer
    x = 9,469,401,128.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.