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Finding the Third Proportional to 263,445,718,481.61 and 355,450,129,848

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Solution

The third proportional to 263,445,718,481.61 and 355,450,129,848 is: 479,585,682,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,445,718,481.61 : 355,450,129,848 = 355,450,129,848 : x
  2. Step 2: Convert to fraction form
    263,445,718,481.61/355,450,129,848 = 355,450,129,848/x
  3. Step 3: Cross multiply
    263,445,718,481.61x = 355,450,129,848 × 355,450,129,848
  4. Step 4: Simplify right side
    263,445,718,481.61x = 126,344,794,808,960,063,373,312
  5. Step 5: Solve for x
    x = 126,344,794,808,960,063,373,312/263,445,718,481.61
  6. Step 6: Final answer
    x = 479,585,682,914.71

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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.