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Finding the Third Proportional to 5,811,720 and 12,669,760

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Solution

The third proportional to 5,811,720 and 12,669,760 is: 27,620,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811,720 : 12,669,760 = 12,669,760 : x
  2. Step 2: Convert to fraction form
    5,811,720/12,669,760 = 12,669,760/x
  3. Step 3: Cross multiply
    5,811,720x = 12,669,760 × 12,669,760
  4. Step 4: Simplify right side
    5,811,720x = 160,522,818,457,600
  5. Step 5: Solve for x
    x = 160,522,818,457,600/5,811,720
  6. Step 6: Final answer
    x = 27,620,535.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.