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Finding the Third Proportional to 13,082,882.50 and 19,496,696

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Solution

The third proportional to 13,082,882.50 and 19,496,696 is: 29,054,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082,882.50 : 19,496,696 = 19,496,696 : x
  2. Step 2: Convert to fraction form
    13,082,882.50/19,496,696 = 19,496,696/x
  3. Step 3: Cross multiply
    13,082,882.50x = 19,496,696 × 19,496,696
  4. Step 4: Simplify right side
    13,082,882.50x = 380,121,154,916,416
  5. Step 5: Solve for x
    x = 380,121,154,916,416/13,082,882.50
  6. Step 6: Final answer
    x = 29,054,847.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.