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Finding the Third Proportional to 2,251,422,873 and 3,394,852,141.50

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Solution

The third proportional to 2,251,422,873 and 3,394,852,141.50 is: 5,118,994,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,422,873 : 3,394,852,141.50 = 3,394,852,141.50 : x
  2. Step 2: Convert to fraction form
    2,251,422,873/3,394,852,141.50 = 3,394,852,141.50/x
  3. Step 3: Cross multiply
    2,251,422,873x = 3,394,852,141.50 × 3,394,852,141.50
  4. Step 4: Simplify right side
    2,251,422,873x = 11,525,021,062,647,136,256
  5. Step 5: Solve for x
    x = 11,525,021,062,647,136,256/2,251,422,873
  6. Step 6: Final answer
    x = 5,118,994,392.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.