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Finding the Third Proportional to 6,211,416 and 13,169,328

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Solution

The third proportional to 6,211,416 and 13,169,328 is: 27,921,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211,416 : 13,169,328 = 13,169,328 : x
  2. Step 2: Convert to fraction form
    6,211,416/13,169,328 = 13,169,328/x
  3. Step 3: Cross multiply
    6,211,416x = 13,169,328 × 13,169,328
  4. Step 4: Simplify right side
    6,211,416x = 173,431,199,971,584
  5. Step 5: Solve for x
    x = 173,431,199,971,584/6,211,416
  6. Step 6: Final answer
    x = 27,921,362.85

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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.