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Finding the Third Proportional to 23,827,351 and 52,024,348

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Solution

The third proportional to 23,827,351 and 52,024,348 is: 113,589,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827,351 : 52,024,348 = 52,024,348 : x
  2. Step 2: Convert to fraction form
    23,827,351/52,024,348 = 52,024,348/x
  3. Step 3: Cross multiply
    23,827,351x = 52,024,348 × 52,024,348
  4. Step 4: Simplify right side
    23,827,351x = 2,706,532,784,825,104
  5. Step 5: Solve for x
    x = 2,706,532,784,825,104/23,827,351
  6. Step 6: Final answer
    x = 113,589,327.86

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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.