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Finding the Third Proportional to 13,880,900 and 20,739,702

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Solution

The third proportional to 13,880,900 and 20,739,702 is: 30,987,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880,900 : 20,739,702 = 20,739,702 : x
  2. Step 2: Convert to fraction form
    13,880,900/20,739,702 = 20,739,702/x
  3. Step 3: Cross multiply
    13,880,900x = 20,739,702 × 20,739,702
  4. Step 4: Simplify right side
    13,880,900x = 430,135,239,048,804
  5. Step 5: Solve for x
    x = 430,135,239,048,804/13,880,900
  6. Step 6: Final answer
    x = 30,987,561.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.