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Finding the Third Proportional to 10,382,640.94 and 16,118,130.38

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Solution

The third proportional to 10,382,640.94 and 16,118,130.38 is: 25,021,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382,640.94 : 16,118,130.38 = 16,118,130.38 : x
  2. Step 2: Convert to fraction form
    10,382,640.94/16,118,130.38 = 16,118,130.38/x
  3. Step 3: Cross multiply
    10,382,640.94x = 16,118,130.38 × 16,118,130.38
  4. Step 4: Simplify right side
    10,382,640.94x = 259,794,126,785,497.62
  5. Step 5: Solve for x
    x = 259,794,126,785,497.62/10,382,640.94
  6. Step 6: Final answer
    x = 25,021,969.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.