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Finding the Third Proportional to 9,299,128 and 20,023,208

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Solution

The third proportional to 9,299,128 and 20,023,208 is: 43,114,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299,128 : 20,023,208 = 20,023,208 : x
  2. Step 2: Convert to fraction form
    9,299,128/20,023,208 = 20,023,208/x
  3. Step 3: Cross multiply
    9,299,128x = 20,023,208 × 20,023,208
  4. Step 4: Simplify right side
    9,299,128x = 400,928,858,611,264
  5. Step 5: Solve for x
    x = 400,928,858,611,264/9,299,128
  6. Step 6: Final answer
    x = 43,114,672.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.