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Finding the Third Proportional to 59,170,239,630 and 126,718,473,847.50

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Solution

The third proportional to 59,170,239,630 and 126,718,473,847.50 is: 271,379,188,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,170,239,630 : 126,718,473,847.50 = 126,718,473,847.50 : x
  2. Step 2: Convert to fraction form
    59,170,239,630/126,718,473,847.50 = 126,718,473,847.50/x
  3. Step 3: Cross multiply
    59,170,239,630x = 126,718,473,847.50 × 126,718,473,847.50
  4. Step 4: Simplify right side
    59,170,239,630x = 16,057,571,614,239,542,476,800
  5. Step 5: Solve for x
    x = 16,057,571,614,239,542,476,800/59,170,239,630
  6. Step 6: Final answer
    x = 271,379,188,501.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.