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Finding the Third Proportional to 2,422,970,564 and 5,270,470,640

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Solution

The third proportional to 2,422,970,564 and 5,270,470,640 is: 11,464,382,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,970,564 : 5,270,470,640 = 5,270,470,640 : x
  2. Step 2: Convert to fraction form
    2,422,970,564/5,270,470,640 = 5,270,470,640/x
  3. Step 3: Cross multiply
    2,422,970,564x = 5,270,470,640 × 5,270,470,640
  4. Step 4: Simplify right side
    2,422,970,564x = 27,777,860,767,102,009,344
  5. Step 5: Solve for x
    x = 27,777,860,767,102,009,344/2,422,970,564
  6. Step 6: Final answer
    x = 11,464,382,266.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.