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Finding the Third Proportional to 5,484,971 and 11,812,824

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Solution

The third proportional to 5,484,971 and 11,812,824 is: 25,440,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484,971 : 11,812,824 = 11,812,824 : x
  2. Step 2: Convert to fraction form
    5,484,971/11,812,824 = 11,812,824/x
  3. Step 3: Cross multiply
    5,484,971x = 11,812,824 × 11,812,824
  4. Step 4: Simplify right side
    5,484,971x = 139,542,810,854,976
  5. Step 5: Solve for x
    x = 139,542,810,854,976/5,484,971
  6. Step 6: Final answer
    x = 25,440,938.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.