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Finding the Third Proportional to 6,065,799 and 12,984,522

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Solution

The third proportional to 6,065,799 and 12,984,522 is: 27,794,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,799 : 12,984,522 = 12,984,522 : x
  2. Step 2: Convert to fraction form
    6,065,799/12,984,522 = 12,984,522/x
  3. Step 3: Cross multiply
    6,065,799x = 12,984,522 × 12,984,522
  4. Step 4: Simplify right side
    6,065,799x = 168,597,811,568,484
  5. Step 5: Solve for x
    x = 168,597,811,568,484/6,065,799
  6. Step 6: Final answer
    x = 27,794,823.33

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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.