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Finding the Third Proportional to 923,967,456 and 2,054,518,608

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Solution

The third proportional to 923,967,456 and 2,054,518,608 is: 4,568,393,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,967,456 : 2,054,518,608 = 2,054,518,608 : x
  2. Step 2: Convert to fraction form
    923,967,456/2,054,518,608 = 2,054,518,608/x
  3. Step 3: Cross multiply
    923,967,456x = 2,054,518,608 × 2,054,518,608
  4. Step 4: Simplify right side
    923,967,456x = 4,221,046,710,618,257,408
  5. Step 5: Solve for x
    x = 4,221,046,710,618,257,408/923,967,456
  6. Step 6: Final answer
    x = 4,568,393,273.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.