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Finding the Third Proportional to 30,496,898 and 66,965,764

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Solution

The third proportional to 30,496,898 and 66,965,764 is: 147,044,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496,898 : 66,965,764 = 66,965,764 : x
  2. Step 2: Convert to fraction form
    30,496,898/66,965,764 = 66,965,764/x
  3. Step 3: Cross multiply
    30,496,898x = 66,965,764 × 66,965,764
  4. Step 4: Simplify right side
    30,496,898x = 4,484,413,548,103,696
  5. Step 5: Solve for x
    x = 4,484,413,548,103,696/30,496,898
  6. Step 6: Final answer
    x = 147,044,907.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.