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Finding the Third Proportional to 140,207,370 and 324,554,672

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Solution

The third proportional to 140,207,370 and 324,554,672 is: 751,285,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,207,370 : 324,554,672 = 324,554,672 : x
  2. Step 2: Convert to fraction form
    140,207,370/324,554,672 = 324,554,672/x
  3. Step 3: Cross multiply
    140,207,370x = 324,554,672 × 324,554,672
  4. Step 4: Simplify right side
    140,207,370x = 105,335,735,117,027,584
  5. Step 5: Solve for x
    x = 105,335,735,117,027,584/140,207,370
  6. Step 6: Final answer
    x = 751,285,293.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.