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Finding the Third Proportional to 3,668,797,034,446.80 and 7,981,725,321,549.60

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Solution

The third proportional to 3,668,797,034,446.80 and 7,981,725,321,549.60 is: 17,364,803,370,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,797,034,446.80 : 7,981,725,321,549.60 = 7,981,725,321,549.60 : x
  2. Step 2: Convert to fraction form
    3,668,797,034,446.80/7,981,725,321,549.60 = 7,981,725,321,549.60/x
  3. Step 3: Cross multiply
    3,668,797,034,446.80x = 7,981,725,321,549.60 × 7,981,725,321,549.60
  4. Step 4: Simplify right side
    3,668,797,034,446.80x = 63,707,939,108,666,059,461,230,592
  5. Step 5: Solve for x
    x = 63,707,939,108,666,059,461,230,592/3,668,797,034,446.80
  6. Step 6: Final answer
    x = 17,364,803,370,288.45

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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.