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Finding the Third Proportional to 1,424,790,864 and 2,179,560,648

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Solution

The third proportional to 1,424,790,864 and 2,179,560,648 is: 3,334,162,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,790,864 : 2,179,560,648 = 2,179,560,648 : x
  2. Step 2: Convert to fraction form
    1,424,790,864/2,179,560,648 = 2,179,560,648/x
  3. Step 3: Cross multiply
    1,424,790,864x = 2,179,560,648 × 2,179,560,648
  4. Step 4: Simplify right side
    1,424,790,864x = 4,750,484,618,310,179,840
  5. Step 5: Solve for x
    x = 4,750,484,618,310,179,840/1,424,790,864
  6. Step 6: Final answer
    x = 3,334,162,745.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.