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Finding the Third Proportional to 267,652,503 and 409,171,615.50

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Solution

The third proportional to 267,652,503 and 409,171,615.50 is: 625,517,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,652,503 : 409,171,615.50 = 409,171,615.50 : x
  2. Step 2: Convert to fraction form
    267,652,503/409,171,615.50 = 409,171,615.50/x
  3. Step 3: Cross multiply
    267,652,503x = 409,171,615.50 × 409,171,615.50
  4. Step 4: Simplify right side
    267,652,503x = 167,421,410,930,879,840
  5. Step 5: Solve for x
    x = 167,421,410,930,879,840/267,652,503
  6. Step 6: Final answer
    x = 625,517,822.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.