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Finding the Third Proportional to 6,311,782 and 13,804,543

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Solution

The third proportional to 6,311,782 and 13,804,543 is: 30,192,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311,782 : 13,804,543 = 13,804,543 : x
  2. Step 2: Convert to fraction form
    6,311,782/13,804,543 = 13,804,543/x
  3. Step 3: Cross multiply
    6,311,782x = 13,804,543 × 13,804,543
  4. Step 4: Simplify right side
    6,311,782x = 190,565,407,438,849
  5. Step 5: Solve for x
    x = 190,565,407,438,849/6,311,782
  6. Step 6: Final answer
    x = 30,192,013.51

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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.