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Finding the Third Proportional to 6,889,096 and 14,831,228

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Solution

The third proportional to 6,889,096 and 14,831,228 is: 31,929,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889,096 : 14,831,228 = 14,831,228 : x
  2. Step 2: Convert to fraction form
    6,889,096/14,831,228 = 14,831,228/x
  3. Step 3: Cross multiply
    6,889,096x = 14,831,228 × 14,831,228
  4. Step 4: Simplify right side
    6,889,096x = 219,965,323,987,984
  5. Step 5: Solve for x
    x = 219,965,323,987,984/6,889,096
  6. Step 6: Final answer
    x = 31,929,490.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.