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Finding the Third Proportional to 2,424,592,678 and 5,227,638,668

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Solution

The third proportional to 2,424,592,678 and 5,227,638,668 is: 11,271,256,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424,592,678 : 5,227,638,668 = 5,227,638,668 : x
  2. Step 2: Convert to fraction form
    2,424,592,678/5,227,638,668 = 5,227,638,668/x
  3. Step 3: Cross multiply
    2,424,592,678x = 5,227,638,668 × 5,227,638,668
  4. Step 4: Simplify right side
    2,424,592,678x = 27,328,206,043,168,813,056
  5. Step 5: Solve for x
    x = 27,328,206,043,168,813,056/2,424,592,678
  6. Step 6: Final answer
    x = 11,271,256,525.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.