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Finding the Third Proportional to 325,590,865,024 and 491,481,760,960

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Solution

The third proportional to 325,590,865,024 and 491,481,760,960 is: 741,895,265,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,590,865,024 : 491,481,760,960 = 491,481,760,960 : x
  2. Step 2: Convert to fraction form
    325,590,865,024/491,481,760,960 = 491,481,760,960/x
  3. Step 3: Cross multiply
    325,590,865,024x = 491,481,760,960 × 491,481,760,960
  4. Step 4: Simplify right side
    325,590,865,024x = 241,554,321,356,342,566,060,032
  5. Step 5: Solve for x
    x = 241,554,321,356,342,566,060,032/325,590,865,024
  6. Step 6: Final answer
    x = 741,895,265,822.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.