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Finding the Third Proportional to 263,445,797,361 and 355,450,231,546

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Solution

The third proportional to 263,445,797,361 and 355,450,231,546 is: 479,585,813,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,445,797,361 : 355,450,231,546 = 355,450,231,546 : x
  2. Step 2: Convert to fraction form
    263,445,797,361/355,450,231,546 = 355,450,231,546/x
  3. Step 3: Cross multiply
    263,445,797,361x = 355,450,231,546 × 355,450,231,546
  4. Step 4: Simplify right side
    263,445,797,361x = 126,344,867,106,105,013,043,200
  5. Step 5: Solve for x
    x = 126,344,867,106,105,013,043,200/263,445,797,361
  6. Step 6: Final answer
    x = 479,585,813,748.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.