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Finding the Third Proportional to 14,214,900 and 30,699,450

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Solution

The third proportional to 14,214,900 and 30,699,450 is: 66,300,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214,900 : 30,699,450 = 30,699,450 : x
  2. Step 2: Convert to fraction form
    14,214,900/30,699,450 = 30,699,450/x
  3. Step 3: Cross multiply
    14,214,900x = 30,699,450 × 30,699,450
  4. Step 4: Simplify right side
    14,214,900x = 942,456,230,302,500
  5. Step 5: Solve for x
    x = 942,456,230,302,500/14,214,900
  6. Step 6: Final answer
    x = 66,300,588.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.