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Finding the Third Proportional to 3,668,797,034,297.60 and 7,981,725,321,255.40

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Solution

The third proportional to 3,668,797,034,297.60 and 7,981,725,321,255.40 is: 17,364,803,369,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,797,034,297.60 : 7,981,725,321,255.40 = 7,981,725,321,255.40 : x
  2. Step 2: Convert to fraction form
    3,668,797,034,297.60/7,981,725,321,255.40 = 7,981,725,321,255.40/x
  3. Step 3: Cross multiply
    3,668,797,034,297.60x = 7,981,725,321,255.40 × 7,981,725,321,255.40
  4. Step 4: Simplify right side
    3,668,797,034,297.60x = 63,707,939,103,969,624,392,204,288
  5. Step 5: Solve for x
    x = 63,707,939,103,969,624,392,204,288/3,668,797,034,297.60
  6. Step 6: Final answer
    x = 17,364,803,369,714.53

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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.