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Finding the Third Proportional to 23,494,560 and 48,254,016

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Solution

The third proportional to 23,494,560 and 48,254,016 is: 99,105,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494,560 : 48,254,016 = 48,254,016 : x
  2. Step 2: Convert to fraction form
    23,494,560/48,254,016 = 48,254,016/x
  3. Step 3: Cross multiply
    23,494,560x = 48,254,016 × 48,254,016
  4. Step 4: Simplify right side
    23,494,560x = 2,328,450,060,128,256
  5. Step 5: Solve for x
    x = 2,328,450,060,128,256/23,494,560
  6. Step 6: Final answer
    x = 99,105,923.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.