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Finding the Third Proportional to 12,993,164 and 18,164,696

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Solution

The third proportional to 12,993,164 and 18,164,696 is: 25,394,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993,164 : 18,164,696 = 18,164,696 : x
  2. Step 2: Convert to fraction form
    12,993,164/18,164,696 = 18,164,696/x
  3. Step 3: Cross multiply
    12,993,164x = 18,164,696 × 18,164,696
  4. Step 4: Simplify right side
    12,993,164x = 329,956,180,772,416
  5. Step 5: Solve for x
    x = 329,956,180,772,416/12,993,164
  6. Step 6: Final answer
    x = 25,394,598.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.