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Finding the Third Proportional to 6,843,443 and 14,697,766

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Solution

The third proportional to 6,843,443 and 14,697,766 is: 31,566,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843,443 : 14,697,766 = 14,697,766 : x
  2. Step 2: Convert to fraction form
    6,843,443/14,697,766 = 14,697,766/x
  3. Step 3: Cross multiply
    6,843,443x = 14,697,766 × 14,697,766
  4. Step 4: Simplify right side
    6,843,443x = 216,024,325,390,756
  5. Step 5: Solve for x
    x = 216,024,325,390,756/6,843,443
  6. Step 6: Final answer
    x = 31,566,614.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.