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Finding the Third Proportional to 13,105,464.19 and 20,513,815.31

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Solution

The third proportional to 13,105,464.19 and 20,513,815.31 is: 32,110,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105,464.19 : 20,513,815.31 = 20,513,815.31 : x
  2. Step 2: Convert to fraction form
    13,105,464.19/20,513,815.31 = 20,513,815.31/x
  3. Step 3: Cross multiply
    13,105,464.19x = 20,513,815.31 × 20,513,815.31
  4. Step 4: Simplify right side
    13,105,464.19x = 420,816,618,675,359.50
  5. Step 5: Solve for x
    x = 420,816,618,675,359.50/13,105,464.19
  6. Step 6: Final answer
    x = 32,110,012.48

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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.