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Finding the Third Proportional to 5,924,969 and 12,689,745

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Solution

The third proportional to 5,924,969 and 12,689,745 is: 27,178,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924,969 : 12,689,745 = 12,689,745 : x
  2. Step 2: Convert to fraction form
    5,924,969/12,689,745 = 12,689,745/x
  3. Step 3: Cross multiply
    5,924,969x = 12,689,745 × 12,689,745
  4. Step 4: Simplify right side
    5,924,969x = 161,029,628,165,025
  5. Step 5: Solve for x
    x = 161,029,628,165,025/5,924,969
  6. Step 6: Final answer
    x = 27,178,138.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.