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Finding the Third Proportional to 13,423,740 and 20,137,050

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Solution

The third proportional to 13,423,740 and 20,137,050 is: 30,207,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423,740 : 20,137,050 = 20,137,050 : x
  2. Step 2: Convert to fraction form
    13,423,740/20,137,050 = 20,137,050/x
  3. Step 3: Cross multiply
    13,423,740x = 20,137,050 × 20,137,050
  4. Step 4: Simplify right side
    13,423,740x = 405,500,782,702,500
  5. Step 5: Solve for x
    x = 405,500,782,702,500/13,423,740
  6. Step 6: Final answer
    x = 30,207,735.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.