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Finding the Third Proportional to 241,447,515 and 523,006,374

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Solution

The third proportional to 241,447,515 and 523,006,374 is: 1,132,899,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,447,515 : 523,006,374 = 523,006,374 : x
  2. Step 2: Convert to fraction form
    241,447,515/523,006,374 = 523,006,374/x
  3. Step 3: Cross multiply
    241,447,515x = 523,006,374 × 523,006,374
  4. Step 4: Simplify right side
    241,447,515x = 273,535,667,244,627,872
  5. Step 5: Solve for x
    x = 273,535,667,244,627,872/241,447,515
  6. Step 6: Final answer
    x = 1,132,899,078.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.