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Finding the Third Proportional to 12,915,764,676 and 20,216,699,310

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Solution

The third proportional to 12,915,764,676 and 20,216,699,310 is: 31,644,656,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915,764,676 : 20,216,699,310 = 20,216,699,310 : x
  2. Step 2: Convert to fraction form
    12,915,764,676/20,216,699,310 = 20,216,699,310/x
  3. Step 3: Cross multiply
    12,915,764,676x = 20,216,699,310 × 20,216,699,310
  4. Step 4: Simplify right side
    12,915,764,676x = 408,714,930,990,954,446,848
  5. Step 5: Solve for x
    x = 408,714,930,990,954,446,848/12,915,764,676
  6. Step 6: Final answer
    x = 31,644,656,065.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.