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Finding the Third Proportional to 5,300,968,221 and 11,532,770,298

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Solution

The third proportional to 5,300,968,221 and 11,532,770,298 is: 25,090,659,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,968,221 : 11,532,770,298 = 11,532,770,298 : x
  2. Step 2: Convert to fraction form
    5,300,968,221/11,532,770,298 = 11,532,770,298/x
  3. Step 3: Cross multiply
    5,300,968,221x = 11,532,770,298 × 11,532,770,298
  4. Step 4: Simplify right side
    5,300,968,221x = 133,004,790,746,431,012,864
  5. Step 5: Solve for x
    x = 133,004,790,746,431,012,864/5,300,968,221
  6. Step 6: Final answer
    x = 25,090,659,894.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.