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Finding the Third Proportional to 23,140,903 and 48,197,165

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Solution

The third proportional to 23,140,903 and 48,197,165 is: 100,383,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140,903 : 48,197,165 = 48,197,165 : x
  2. Step 2: Convert to fraction form
    23,140,903/48,197,165 = 48,197,165/x
  3. Step 3: Cross multiply
    23,140,903x = 48,197,165 × 48,197,165
  4. Step 4: Simplify right side
    23,140,903x = 2,322,966,714,037,225
  5. Step 5: Solve for x
    x = 2,322,966,714,037,225/23,140,903
  6. Step 6: Final answer
    x = 100,383,581.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.