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Finding the Third Proportional to 6,173,406 and 13,294,992.75

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Solution

The third proportional to 6,173,406 and 13,294,992.75 is: 28,631,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173,406 : 13,294,992.75 = 13,294,992.75 : x
  2. Step 2: Convert to fraction form
    6,173,406/13,294,992.75 = 13,294,992.75/x
  3. Step 3: Cross multiply
    6,173,406x = 13,294,992.75 × 13,294,992.75
  4. Step 4: Simplify right side
    6,173,406x = 176,756,832,222,552.56
  5. Step 5: Solve for x
    x = 176,756,832,222,552.56/6,173,406
  6. Step 6: Final answer
    x = 28,631,979.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.