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Finding the Third Proportional to 10,286,269 and 14,010,377

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Solution

The third proportional to 10,286,269 and 14,010,377 is: 19,082,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286,269 : 14,010,377 = 14,010,377 : x
  2. Step 2: Convert to fraction form
    10,286,269/14,010,377 = 14,010,377/x
  3. Step 3: Cross multiply
    10,286,269x = 14,010,377 × 14,010,377
  4. Step 4: Simplify right side
    10,286,269x = 196,290,663,682,129
  5. Step 5: Solve for x
    x = 196,290,663,682,129/10,286,269
  6. Step 6: Final answer
    x = 19,082,785.38

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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.