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Finding the Third Proportional to 6,194,914 and 13,286,633

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Solution

The third proportional to 6,194,914 and 13,286,633 is: 28,496,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,914 : 13,286,633 = 13,286,633 : x
  2. Step 2: Convert to fraction form
    6,194,914/13,286,633 = 13,286,633/x
  3. Step 3: Cross multiply
    6,194,914x = 13,286,633 × 13,286,633
  4. Step 4: Simplify right side
    6,194,914x = 176,534,616,476,689
  5. Step 5: Solve for x
    x = 176,534,616,476,689/6,194,914
  6. Step 6: Final answer
    x = 28,496,701.73

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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.