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Finding the Third Proportional to 5,104,549.13 and 10,682,310.38

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Solution

The third proportional to 5,104,549.13 and 10,682,310.38 is: 22,354,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104,549.13 : 10,682,310.38 = 10,682,310.38 : x
  2. Step 2: Convert to fraction form
    5,104,549.13/10,682,310.38 = 10,682,310.38/x
  3. Step 3: Cross multiply
    5,104,549.13x = 10,682,310.38 × 10,682,310.38
  4. Step 4: Simplify right side
    5,104,549.13x = 114,111,754,947,832.64
  5. Step 5: Solve for x
    x = 114,111,754,947,832.64/5,104,549.13
  6. Step 6: Final answer
    x = 22,354,913.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.