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Finding the Third Proportional to 13,857,230,668 and 20,021,309,676

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Solution

The third proportional to 13,857,230,668 and 20,021,309,676 is: 28,927,341,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,230,668 : 20,021,309,676 = 20,021,309,676 : x
  2. Step 2: Convert to fraction form
    13,857,230,668/20,021,309,676 = 20,021,309,676/x
  3. Step 3: Cross multiply
    13,857,230,668x = 20,021,309,676 × 20,021,309,676
  4. Step 4: Simplify right side
    13,857,230,668x = 400,852,841,142,291,202,048
  5. Step 5: Solve for x
    x = 400,852,841,142,291,202,048/13,857,230,668
  6. Step 6: Final answer
    x = 28,927,341,309.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.