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Finding the Third Proportional to 2,019,132,192 and 3,194,481,744

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Solution

The third proportional to 2,019,132,192 and 3,194,481,744 is: 5,054,009,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,132,192 : 3,194,481,744 = 3,194,481,744 : x
  2. Step 2: Convert to fraction form
    2,019,132,192/3,194,481,744 = 3,194,481,744/x
  3. Step 3: Cross multiply
    2,019,132,192x = 3,194,481,744 × 3,194,481,744
  4. Step 4: Simplify right side
    2,019,132,192x = 10,204,713,612,749,281,280
  5. Step 5: Solve for x
    x = 10,204,713,612,749,281,280/2,019,132,192
  6. Step 6: Final answer
    x = 5,054,009,664.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.