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Finding the Third Proportional to 21,682,120 and 47,143,232

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Solution

The third proportional to 21,682,120 and 47,143,232 is: 102,503,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682,120 : 47,143,232 = 47,143,232 : x
  2. Step 2: Convert to fraction form
    21,682,120/47,143,232 = 47,143,232/x
  3. Step 3: Cross multiply
    21,682,120x = 47,143,232 × 47,143,232
  4. Step 4: Simplify right side
    21,682,120x = 2,222,484,323,405,824
  5. Step 5: Solve for x
    x = 2,222,484,323,405,824/21,682,120
  6. Step 6: Final answer
    x = 102,503,091.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.