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Finding the Third Proportional to 10,269,450 and 14,356,596

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Solution

The third proportional to 10,269,450 and 14,356,596 is: 20,070,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269,450 : 14,356,596 = 14,356,596 : x
  2. Step 2: Convert to fraction form
    10,269,450/14,356,596 = 14,356,596/x
  3. Step 3: Cross multiply
    10,269,450x = 14,356,596 × 14,356,596
  4. Step 4: Simplify right side
    10,269,450x = 206,111,848,707,216
  5. Step 5: Solve for x
    x = 206,111,848,707,216/10,269,450
  6. Step 6: Final answer
    x = 20,070,388.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.