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Finding the Third Proportional to 2,648,037,647 and 5,618,859,271

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Solution

The third proportional to 2,648,037,647 and 5,618,859,271 is: 11,922,632,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,037,647 : 5,618,859,271 = 5,618,859,271 : x
  2. Step 2: Convert to fraction form
    2,648,037,647/5,618,859,271 = 5,618,859,271/x
  3. Step 3: Cross multiply
    2,648,037,647x = 5,618,859,271 × 5,618,859,271
  4. Step 4: Simplify right side
    2,648,037,647x = 31,571,579,507,302,649,856
  5. Step 5: Solve for x
    x = 31,571,579,507,302,649,856/2,648,037,647
  6. Step 6: Final answer
    x = 11,922,632,422.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.