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Finding the Third Proportional to 11,437,766 and 17,831,874

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Solution

The third proportional to 11,437,766 and 17,831,874 is: 27,800,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437,766 : 17,831,874 = 17,831,874 : x
  2. Step 2: Convert to fraction form
    11,437,766/17,831,874 = 17,831,874/x
  3. Step 3: Cross multiply
    11,437,766x = 17,831,874 × 17,831,874
  4. Step 4: Simplify right side
    11,437,766x = 317,975,730,351,876
  5. Step 5: Solve for x
    x = 317,975,730,351,876/11,437,766
  6. Step 6: Final answer
    x = 27,800,510.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.