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Finding the Third Proportional to 3,519,784.13 and 8,476,563.94

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Solution

The third proportional to 3,519,784.13 and 8,476,563.94 is: 20,413,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519,784.13 : 8,476,563.94 = 8,476,563.94 : x
  2. Step 2: Convert to fraction form
    3,519,784.13/8,476,563.94 = 8,476,563.94/x
  3. Step 3: Cross multiply
    3,519,784.13x = 8,476,563.94 × 8,476,563.94
  4. Step 4: Simplify right side
    3,519,784.13x = 71,852,136,186,525.50
  5. Step 5: Solve for x
    x = 71,852,136,186,525.50/3,519,784.13
  6. Step 6: Final answer
    x = 20,413,790.63

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.