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Finding the Third Proportional to 3,668,797,034,560.20 and 7,981,725,321,757.20

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Solution

The third proportional to 3,668,797,034,560.20 and 7,981,725,321,757.20 is: 17,364,803,370,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,797,034,560.20 : 7,981,725,321,757.20 = 7,981,725,321,757.20 : x
  2. Step 2: Convert to fraction form
    3,668,797,034,560.20/7,981,725,321,757.20 = 7,981,725,321,757.20/x
  3. Step 3: Cross multiply
    3,668,797,034,560.20x = 7,981,725,321,757.20 × 7,981,725,321,757.20
  4. Step 4: Simplify right side
    3,668,797,034,560.20x = 63,707,939,111,980,081,996,627,968
  5. Step 5: Solve for x
    x = 63,707,939,111,980,081,996,627,968/3,668,797,034,560.20
  6. Step 6: Final answer
    x = 17,364,803,370,655.01

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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.