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Finding the Third Proportional to 3,664,039 and 7,831,243

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Solution

The third proportional to 3,664,039 and 7,831,243 is: 16,737,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,039 : 7,831,243 = 7,831,243 : x
  2. Step 2: Convert to fraction form
    3,664,039/7,831,243 = 7,831,243/x
  3. Step 3: Cross multiply
    3,664,039x = 7,831,243 × 7,831,243
  4. Step 4: Simplify right side
    3,664,039x = 61,328,366,925,049
  5. Step 5: Solve for x
    x = 61,328,366,925,049/3,664,039
  6. Step 6: Final answer
    x = 16,737,913.25

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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.