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Finding the Third Proportional to 79,480,907,680 and 161,297,321,400

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Solution

The third proportional to 79,480,907,680 and 161,297,321,400 is: 327,334,282,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,480,907,680 : 161,297,321,400 = 161,297,321,400 : x
  2. Step 2: Convert to fraction form
    79,480,907,680/161,297,321,400 = 161,297,321,400/x
  3. Step 3: Cross multiply
    79,480,907,680x = 161,297,321,400 × 161,297,321,400
  4. Step 4: Simplify right side
    79,480,907,680x = 26,016,825,890,814,897,946,624
  5. Step 5: Solve for x
    x = 26,016,825,890,814,897,946,624/79,480,907,680
  6. Step 6: Final answer
    x = 327,334,282,536.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.