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Finding the Third Proportional to 6,815,868 and 14,589,372

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Solution

The third proportional to 6,815,868 and 14,589,372 is: 31,228,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815,868 : 14,589,372 = 14,589,372 : x
  2. Step 2: Convert to fraction form
    6,815,868/14,589,372 = 14,589,372/x
  3. Step 3: Cross multiply
    6,815,868x = 14,589,372 × 14,589,372
  4. Step 4: Simplify right side
    6,815,868x = 212,849,775,354,384
  5. Step 5: Solve for x
    x = 212,849,775,354,384/6,815,868
  6. Step 6: Final answer
    x = 31,228,564.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.