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Finding the Third Proportional to 3,668,797,034,409.80 and 7,981,725,321,473.70

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Solution

The third proportional to 3,668,797,034,409.80 and 7,981,725,321,473.70 is: 17,364,803,370,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,797,034,409.80 : 7,981,725,321,473.70 = 7,981,725,321,473.70 : x
  2. Step 2: Convert to fraction form
    3,668,797,034,409.80/7,981,725,321,473.70 = 7,981,725,321,473.70/x
  3. Step 3: Cross multiply
    3,668,797,034,409.80x = 7,981,725,321,473.70 × 7,981,725,321,473.70
  4. Step 4: Simplify right side
    3,668,797,034,409.80x = 63,707,939,107,454,440,597,094,400
  5. Step 5: Solve for x
    x = 63,707,939,107,454,440,597,094,400/3,668,797,034,409.80
  6. Step 6: Final answer
    x = 17,364,803,370,133.32

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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.