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Finding the Third Proportional to 241,155,512 and 523,143,412

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Solution

The third proportional to 241,155,512 and 523,143,412 is: 1,134,865,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,155,512 : 523,143,412 = 523,143,412 : x
  2. Step 2: Convert to fraction form
    241,155,512/523,143,412 = 523,143,412/x
  3. Step 3: Cross multiply
    241,155,512x = 523,143,412 × 523,143,412
  4. Step 4: Simplify right side
    241,155,512x = 273,679,029,519,001,728
  5. Step 5: Solve for x
    x = 273,679,029,519,001,728/241,155,512
  6. Step 6: Final answer
    x = 1,134,865,329.22

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Why These Related Problems?

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