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Finding the Third Proportional to 2,773,296,486 and 5,643,448,268

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Solution

The third proportional to 2,773,296,486 and 5,643,448,268 is: 11,483,989,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773,296,486 : 5,643,448,268 = 5,643,448,268 : x
  2. Step 2: Convert to fraction form
    2,773,296,486/5,643,448,268 = 5,643,448,268/x
  3. Step 3: Cross multiply
    2,773,296,486x = 5,643,448,268 × 5,643,448,268
  4. Step 4: Simplify right side
    2,773,296,486x = 31,848,508,353,592,201,216
  5. Step 5: Solve for x
    x = 31,848,508,353,592,201,216/2,773,296,486
  6. Step 6: Final answer
    x = 11,483,989,726.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.