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Finding the Third Proportional to 6,680,742 and 14,306,268

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Solution

The third proportional to 6,680,742 and 14,306,268 is: 30,635,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680,742 : 14,306,268 = 14,306,268 : x
  2. Step 2: Convert to fraction form
    6,680,742/14,306,268 = 14,306,268/x
  3. Step 3: Cross multiply
    6,680,742x = 14,306,268 × 14,306,268
  4. Step 4: Simplify right side
    6,680,742x = 204,669,304,087,824
  5. Step 5: Solve for x
    x = 204,669,304,087,824/6,680,742
  6. Step 6: Final answer
    x = 30,635,714.43

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