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Finding the Third Proportional to 10,215,193.50 and 21,675,519

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Solution

The third proportional to 10,215,193.50 and 21,675,519 is: 45,993,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,193.50 : 21,675,519 = 21,675,519 : x
  2. Step 2: Convert to fraction form
    10,215,193.50/21,675,519 = 21,675,519/x
  3. Step 3: Cross multiply
    10,215,193.50x = 21,675,519 × 21,675,519
  4. Step 4: Simplify right side
    10,215,193.50x = 469,828,123,919,361
  5. Step 5: Solve for x
    x = 469,828,123,919,361/10,215,193.50
  6. Step 6: Final answer
    x = 45,993,071.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.