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Finding the Third Proportional to 3,668,797,034,297.60 and 7,981,725,321,255.20

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Solution

The third proportional to 3,668,797,034,297.60 and 7,981,725,321,255.20 is: 17,364,803,369,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,797,034,297.60 : 7,981,725,321,255.20 = 7,981,725,321,255.20 : x
  2. Step 2: Convert to fraction form
    3,668,797,034,297.60/7,981,725,321,255.20 = 7,981,725,321,255.20/x
  3. Step 3: Cross multiply
    3,668,797,034,297.60x = 7,981,725,321,255.20 × 7,981,725,321,255.20
  4. Step 4: Simplify right side
    3,668,797,034,297.60x = 63,707,939,103,966,428,936,536,064
  5. Step 5: Solve for x
    x = 63,707,939,103,966,428,936,536,064/3,668,797,034,297.60
  6. Step 6: Final answer
    x = 17,364,803,369,713.65

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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.