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Finding the Third Proportional to 5,783,069 and 12,701,232

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Solution

The third proportional to 5,783,069 and 12,701,232 is: 27,895,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783,069 : 12,701,232 = 12,701,232 : x
  2. Step 2: Convert to fraction form
    5,783,069/12,701,232 = 12,701,232/x
  3. Step 3: Cross multiply
    5,783,069x = 12,701,232 × 12,701,232
  4. Step 4: Simplify right side
    5,783,069x = 161,321,294,317,824
  5. Step 5: Solve for x
    x = 161,321,294,317,824/5,783,069
  6. Step 6: Final answer
    x = 27,895,446.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.