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Finding the Third Proportional to 3,668,797,034,681.70 and 7,981,725,321,999.90

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Solution

The third proportional to 3,668,797,034,681.70 and 7,981,725,321,999.90 is: 17,364,803,371,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,797,034,681.70 : 7,981,725,321,999.90 = 7,981,725,321,999.90 : x
  2. Step 2: Convert to fraction form
    3,668,797,034,681.70/7,981,725,321,999.90 = 7,981,725,321,999.90/x
  3. Step 3: Cross multiply
    3,668,797,034,681.70x = 7,981,725,321,999.90 × 7,981,725,321,999.90
  4. Step 4: Simplify right side
    3,668,797,034,681.70x = 63,707,939,115,854,417,375,526,912
  5. Step 5: Solve for x
    x = 63,707,939,115,854,417,375,526,912/3,668,797,034,681.70
  6. Step 6: Final answer
    x = 17,364,803,371,135.96

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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.