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Finding the Third Proportional to 11,363,324 and 24,322,064

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Solution

The third proportional to 11,363,324 and 24,322,064 is: 52,058,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363,324 : 24,322,064 = 24,322,064 : x
  2. Step 2: Convert to fraction form
    11,363,324/24,322,064 = 24,322,064/x
  3. Step 3: Cross multiply
    11,363,324x = 24,322,064 × 24,322,064
  4. Step 4: Simplify right side
    11,363,324x = 591,562,797,220,096
  5. Step 5: Solve for x
    x = 591,562,797,220,096/11,363,324
  6. Step 6: Final answer
    x = 52,058,957.15

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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.