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Finding the Third Proportional to 21,682,116 and 47,143,224

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Solution

The third proportional to 21,682,116 and 47,143,224 is: 102,503,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682,116 : 47,143,224 = 47,143,224 : x
  2. Step 2: Convert to fraction form
    21,682,116/47,143,224 = 47,143,224/x
  3. Step 3: Cross multiply
    21,682,116x = 47,143,224 × 47,143,224
  4. Step 4: Simplify right side
    21,682,116x = 2,222,483,569,114,176
  5. Step 5: Solve for x
    x = 2,222,483,569,114,176/21,682,116
  6. Step 6: Final answer
    x = 102,503,075.30

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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.