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Finding the Third Proportional to 33,180,898 and 69,010,496

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Solution

The third proportional to 33,180,898 and 69,010,496 is: 143,529,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180,898 : 69,010,496 = 69,010,496 : x
  2. Step 2: Convert to fraction form
    33,180,898/69,010,496 = 69,010,496/x
  3. Step 3: Cross multiply
    33,180,898x = 69,010,496 × 69,010,496
  4. Step 4: Simplify right side
    33,180,898x = 4,762,448,558,166,016
  5. Step 5: Solve for x
    x = 4,762,448,558,166,016/33,180,898
  6. Step 6: Final answer
    x = 143,529,827.26

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