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Finding the Third Proportional to 24,446,744 and 51,808,110

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Solution

The third proportional to 24,446,744 and 51,808,110 is: 109,792,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,744 : 51,808,110 = 51,808,110 : x
  2. Step 2: Convert to fraction form
    24,446,744/51,808,110 = 51,808,110/x
  3. Step 3: Cross multiply
    24,446,744x = 51,808,110 × 51,808,110
  4. Step 4: Simplify right side
    24,446,744x = 2,684,080,261,772,100
  5. Step 5: Solve for x
    x = 2,684,080,261,772,100/24,446,744
  6. Step 6: Final answer
    x = 109,792,954.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.