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Finding the Third Proportional to 10,286,269.50 and 14,010,378

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Solution

The third proportional to 10,286,269.50 and 14,010,378 is: 19,082,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,269.50 : 14,010,378 = 14,010,378 : x
  2. Step 2: Convert to fraction form
    10,286,269.50/14,010,378 = 14,010,378/x
  3. Step 3: Cross multiply
    10,286,269.50x = 14,010,378 × 14,010,378
  4. Step 4: Simplify right side
    10,286,269.50x = 196,290,691,702,884
  5. Step 5: Solve for x
    x = 196,290,691,702,884/10,286,269.50
  6. Step 6: Final answer
    x = 19,082,787.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.