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Finding the Third Proportional to 13,337,503.50 and 20,006,254.50

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Solution

The third proportional to 13,337,503.50 and 20,006,254.50 is: 30,009,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337,503.50 : 20,006,254.50 = 20,006,254.50 : x
  2. Step 2: Convert to fraction form
    13,337,503.50/20,006,254.50 = 20,006,254.50/x
  3. Step 3: Cross multiply
    13,337,503.50x = 20,006,254.50 × 20,006,254.50
  4. Step 4: Simplify right side
    13,337,503.50x = 400,250,219,118,770.25
  5. Step 5: Solve for x
    x = 400,250,219,118,770.25/13,337,503.50
  6. Step 6: Final answer
    x = 30,009,380.63

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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.