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Finding the Third Proportional to 2,493,559.69 and 5,384,971.13

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Solution

The third proportional to 2,493,559.69 and 5,384,971.13 is: 11,629,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493,559.69 : 5,384,971.13 = 5,384,971.13 : x
  2. Step 2: Convert to fraction form
    2,493,559.69/5,384,971.13 = 5,384,971.13/x
  3. Step 3: Cross multiply
    2,493,559.69x = 5,384,971.13 × 5,384,971.13
  4. Step 4: Simplify right side
    2,493,559.69x = 28,997,914,017,083.77
  5. Step 5: Solve for x
    x = 28,997,914,017,083.77/2,493,559.69
  6. Step 6: Final answer
    x = 11,629,123.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.