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Finding the Third Proportional to 6,194,562 and 13,585,656

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Solution

The third proportional to 6,194,562 and 13,585,656 is: 29,795,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,562 : 13,585,656 = 13,585,656 : x
  2. Step 2: Convert to fraction form
    6,194,562/13,585,656 = 13,585,656/x
  3. Step 3: Cross multiply
    6,194,562x = 13,585,656 × 13,585,656
  4. Step 4: Simplify right side
    6,194,562x = 184,570,048,950,336
  5. Step 5: Solve for x
    x = 184,570,048,950,336/6,194,562
  6. Step 6: Final answer
    x = 29,795,496.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.