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Finding the Third Proportional to 324,515,070 and 698,236,418.25

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Solution

The third proportional to 324,515,070 and 698,236,418.25 is: 1,502,346,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,515,070 : 698,236,418.25 = 698,236,418.25 : x
  2. Step 2: Convert to fraction form
    324,515,070/698,236,418.25 = 698,236,418.25/x
  3. Step 3: Cross multiply
    324,515,070x = 698,236,418.25 × 698,236,418.25
  4. Step 4: Simplify right side
    324,515,070x = 487,534,095,770,588,928
  5. Step 5: Solve for x
    x = 487,534,095,770,588,928/324,515,070
  6. Step 6: Final answer
    x = 1,502,346,549.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.