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Finding the Third Proportional to 10,286,271 and 14,010,380

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Solution

The third proportional to 10,286,271 and 14,010,380 is: 19,082,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,271 : 14,010,380 = 14,010,380 : x
  2. Step 2: Convert to fraction form
    10,286,271/14,010,380 = 14,010,380/x
  3. Step 3: Cross multiply
    10,286,271x = 14,010,380 × 14,010,380
  4. Step 4: Simplify right side
    10,286,271x = 196,290,747,744,400
  5. Step 5: Solve for x
    x = 196,290,747,744,400/10,286,271
  6. Step 6: Final answer
    x = 19,082,789.84

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