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Finding the Third Proportional to 11,202,880 and 23,999,840

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Solution

The third proportional to 11,202,880 and 23,999,840 is: 51,414,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202,880 : 23,999,840 = 23,999,840 : x
  2. Step 2: Convert to fraction form
    11,202,880/23,999,840 = 23,999,840/x
  3. Step 3: Cross multiply
    11,202,880x = 23,999,840 × 23,999,840
  4. Step 4: Simplify right side
    11,202,880x = 575,992,320,025,600
  5. Step 5: Solve for x
    x = 575,992,320,025,600/11,202,880
  6. Step 6: Final answer
    x = 51,414,664.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.