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Finding the Third Proportional to 51,330,450 and 106,906,959

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Solution

The third proportional to 51,330,450 and 106,906,959 is: 222,657,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,330,450 : 106,906,959 = 106,906,959 : x
  2. Step 2: Convert to fraction form
    51,330,450/106,906,959 = 106,906,959/x
  3. Step 3: Cross multiply
    51,330,450x = 106,906,959 × 106,906,959
  4. Step 4: Simplify right side
    51,330,450x = 11,429,097,882,627,680
  5. Step 5: Solve for x
    x = 11,429,097,882,627,680/51,330,450
  6. Step 6: Final answer
    x = 222,657,270.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.