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Finding the Third Proportional to 8,378,967 and 12,812,111

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Solution

The third proportional to 8,378,967 and 12,812,111 is: 19,590,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,967 : 12,812,111 = 12,812,111 : x
  2. Step 2: Convert to fraction form
    8,378,967/12,812,111 = 12,812,111/x
  3. Step 3: Cross multiply
    8,378,967x = 12,812,111 × 12,812,111
  4. Step 4: Simplify right side
    8,378,967x = 164,150,188,276,321
  5. Step 5: Solve for x
    x = 164,150,188,276,321/8,378,967
  6. Step 6: Final answer
    x = 19,590,742.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.