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Finding the Third Proportional to 151,324,829,770 and 333,494,479,264

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Solution

The third proportional to 151,324,829,770 and 333,494,479,264 is: 734,965,754,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,324,829,770 : 333,494,479,264 = 333,494,479,264 : x
  2. Step 2: Convert to fraction form
    151,324,829,770/333,494,479,264 = 333,494,479,264/x
  3. Step 3: Cross multiply
    151,324,829,770x = 333,494,479,264 × 333,494,479,264
  4. Step 4: Simplify right side
    151,324,829,770x = 111,218,567,699,566,518,337,536
  5. Step 5: Solve for x
    x = 111,218,567,699,566,518,337,536/151,324,829,770
  6. Step 6: Final answer
    x = 734,965,754,586.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.