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Finding the Third Proportional to 10,285,516.69 and 13,718,671.31

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Solution

The third proportional to 10,285,516.69 and 13,718,671.31 is: 18,297,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285,516.69 : 13,718,671.31 = 13,718,671.31 : x
  2. Step 2: Convert to fraction form
    10,285,516.69/13,718,671.31 = 13,718,671.31/x
  3. Step 3: Cross multiply
    10,285,516.69x = 13,718,671.31 × 13,718,671.31
  4. Step 4: Simplify right side
    10,285,516.69x = 188,201,942,580,410.47
  5. Step 5: Solve for x
    x = 188,201,942,580,410.47/10,285,516.69
  6. Step 6: Final answer
    x = 18,297,762.60

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.