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Finding the Third Proportional to 13,821,882.50 and 20,460,846

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Solution

The third proportional to 13,821,882.50 and 20,460,846 is: 30,288,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821,882.50 : 20,460,846 = 20,460,846 : x
  2. Step 2: Convert to fraction form
    13,821,882.50/20,460,846 = 20,460,846/x
  3. Step 3: Cross multiply
    13,821,882.50x = 20,460,846 × 20,460,846
  4. Step 4: Simplify right side
    13,821,882.50x = 418,646,219,035,716
  5. Step 5: Solve for x
    x = 418,646,219,035,716/13,821,882.50
  6. Step 6: Final answer
    x = 30,288,654.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.