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Finding the Third Proportional to 34,491,204 and 75,106,008

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Solution

The third proportional to 34,491,204 and 75,106,008 is: 163,546,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491,204 : 75,106,008 = 75,106,008 : x
  2. Step 2: Convert to fraction form
    34,491,204/75,106,008 = 75,106,008/x
  3. Step 3: Cross multiply
    34,491,204x = 75,106,008 × 75,106,008
  4. Step 4: Simplify right side
    34,491,204x = 5,640,912,437,696,064
  5. Step 5: Solve for x
    x = 5,640,912,437,696,064/34,491,204
  6. Step 6: Final answer
    x = 163,546,405.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.