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Finding the Third Proportional to 13,665,243 and 20,954,601

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Solution

The third proportional to 13,665,243 and 20,954,601 is: 32,132,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665,243 : 20,954,601 = 20,954,601 : x
  2. Step 2: Convert to fraction form
    13,665,243/20,954,601 = 20,954,601/x
  3. Step 3: Cross multiply
    13,665,243x = 20,954,601 × 20,954,601
  4. Step 4: Simplify right side
    13,665,243x = 439,095,303,069,201
  5. Step 5: Solve for x
    x = 439,095,303,069,201/13,665,243
  6. Step 6: Final answer
    x = 32,132,271.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.