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Finding the Third Proportional to 6,842,397 and 14,814,096

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Solution

The third proportional to 6,842,397 and 14,814,096 is: 32,073,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,397 : 14,814,096 = 14,814,096 : x
  2. Step 2: Convert to fraction form
    6,842,397/14,814,096 = 14,814,096/x
  3. Step 3: Cross multiply
    6,842,397x = 14,814,096 × 14,814,096
  4. Step 4: Simplify right side
    6,842,397x = 219,457,440,297,216
  5. Step 5: Solve for x
    x = 219,457,440,297,216/6,842,397
  6. Step 6: Final answer
    x = 32,073,181.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.