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Finding the Third Proportional to 241,081,548 and 523,261,254

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Solution

The third proportional to 241,081,548 and 523,261,254 is: 1,135,724,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,081,548 : 523,261,254 = 523,261,254 : x
  2. Step 2: Convert to fraction form
    241,081,548/523,261,254 = 523,261,254/x
  3. Step 3: Cross multiply
    241,081,548x = 523,261,254 × 523,261,254
  4. Step 4: Simplify right side
    241,081,548x = 273,802,339,937,652,512
  5. Step 5: Solve for x
    x = 273,802,339,937,652,512/241,081,548
  6. Step 6: Final answer
    x = 1,135,724,995.17

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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.