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Finding the Third Proportional to 13,105,189.13 and 20,513,379.09

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Solution

The third proportional to 13,105,189.13 and 20,513,379.09 is: 32,109,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105,189.13 : 20,513,379.09 = 20,513,379.09 : x
  2. Step 2: Convert to fraction form
    13,105,189.13/20,513,379.09 = 20,513,379.09/x
  3. Step 3: Cross multiply
    13,105,189.13x = 20,513,379.09 × 20,513,379.09
  4. Step 4: Simplify right side
    13,105,189.13x = 420,798,721,843,899.56
  5. Step 5: Solve for x
    x = 420,798,721,843,899.56/13,105,189.13
  6. Step 6: Final answer
    x = 32,109,320.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.