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Finding the Third Proportional to 3,668,797,034,481.40 and 7,981,725,321,617.20

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Solution

The third proportional to 3,668,797,034,481.40 and 7,981,725,321,617.20 is: 17,364,803,370,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,797,034,481.40 : 7,981,725,321,617.20 = 7,981,725,321,617.20 : x
  2. Step 2: Convert to fraction form
    3,668,797,034,481.40/7,981,725,321,617.20 = 7,981,725,321,617.20/x
  3. Step 3: Cross multiply
    3,668,797,034,481.40x = 7,981,725,321,617.20 × 7,981,725,321,617.20
  4. Step 4: Simplify right side
    3,668,797,034,481.40x = 63,707,939,109,745,195,764,154,368
  5. Step 5: Solve for x
    x = 63,707,939,109,745,195,764,154,368/3,668,797,034,481.40
  6. Step 6: Final answer
    x = 17,364,803,370,418.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.