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Finding the Third Proportional to 6,211,444 and 13,169,384

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Solution

The third proportional to 6,211,444 and 13,169,384 is: 27,921,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211,444 : 13,169,384 = 13,169,384 : x
  2. Step 2: Convert to fraction form
    6,211,444/13,169,384 = 13,169,384/x
  3. Step 3: Cross multiply
    6,211,444x = 13,169,384 × 13,169,384
  4. Step 4: Simplify right side
    6,211,444x = 173,432,674,939,456
  5. Step 5: Solve for x
    x = 173,432,674,939,456/6,211,444
  6. Step 6: Final answer
    x = 27,921,474.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.