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Finding the Third Proportional to 76,364,936,904 and 154,907,325,344

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Solution

The third proportional to 76,364,936,904 and 154,907,325,344 is: 314,231,641,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364,936,904 : 154,907,325,344 = 154,907,325,344 : x
  2. Step 2: Convert to fraction form
    76,364,936,904/154,907,325,344 = 154,907,325,344/x
  3. Step 3: Cross multiply
    76,364,936,904x = 154,907,325,344 × 154,907,325,344
  4. Step 4: Simplify right side
    76,364,936,904x = 23,996,279,445,231,866,216,448
  5. Step 5: Solve for x
    x = 23,996,279,445,231,866,216,448/76,364,936,904
  6. Step 6: Final answer
    x = 314,231,641,092.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.