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Finding the Third Proportional to 7,085,216 and 11,279,444

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Solution

The third proportional to 7,085,216 and 11,279,444 is: 17,956,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,216 : 11,279,444 = 11,279,444 : x
  2. Step 2: Convert to fraction form
    7,085,216/11,279,444 = 11,279,444/x
  3. Step 3: Cross multiply
    7,085,216x = 11,279,444 × 11,279,444
  4. Step 4: Simplify right side
    7,085,216x = 127,225,856,949,136
  5. Step 5: Solve for x
    x = 127,225,856,949,136/7,085,216
  6. Step 6: Final answer
    x = 17,956,524.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.