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Finding the Third Proportional to 13,981,093,421 and 30,668,998,530.50

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Solution

The third proportional to 13,981,093,421 and 30,668,998,530.50 is: 67,275,673,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981,093,421 : 30,668,998,530.50 = 30,668,998,530.50 : x
  2. Step 2: Convert to fraction form
    13,981,093,421/30,668,998,530.50 = 30,668,998,530.50/x
  3. Step 3: Cross multiply
    13,981,093,421x = 30,668,998,530.50 × 30,668,998,530.50
  4. Step 4: Simplify right side
    13,981,093,421x = 940,587,470,863,811,215,360
  5. Step 5: Solve for x
    x = 940,587,470,863,811,215,360/13,981,093,421
  6. Step 6: Final answer
    x = 67,275,673,120.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.