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Finding the Third Proportional to 10,769,774 and 23,033,692

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Solution

The third proportional to 10,769,774 and 23,033,692 is: 49,262,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769,774 : 23,033,692 = 23,033,692 : x
  2. Step 2: Convert to fraction form
    10,769,774/23,033,692 = 23,033,692/x
  3. Step 3: Cross multiply
    10,769,774x = 23,033,692 × 23,033,692
  4. Step 4: Simplify right side
    10,769,774x = 530,550,967,150,864
  5. Step 5: Solve for x
    x = 530,550,967,150,864/10,769,774
  6. Step 6: Final answer
    x = 49,262,961.99

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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.