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Finding the Third Proportional to 21,828,968 and 47,530,615

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Solution

The third proportional to 21,828,968 and 47,530,615 is: 103,493,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828,968 : 47,530,615 = 47,530,615 : x
  2. Step 2: Convert to fraction form
    21,828,968/47,530,615 = 47,530,615/x
  3. Step 3: Cross multiply
    21,828,968x = 47,530,615 × 47,530,615
  4. Step 4: Simplify right side
    21,828,968x = 2,259,159,362,278,225
  5. Step 5: Solve for x
    x = 2,259,159,362,278,225/21,828,968
  6. Step 6: Final answer
    x = 103,493,640.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.