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Finding the Third Proportional to 269,915,460,813 and 562,171,665,584.62

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Solution

The third proportional to 269,915,460,813 and 562,171,665,584.62 is: 1,170,873,949,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,915,460,813 : 562,171,665,584.62 = 562,171,665,584.62 : x
  2. Step 2: Convert to fraction form
    269,915,460,813/562,171,665,584.62 = 562,171,665,584.62/x
  3. Step 3: Cross multiply
    269,915,460,813x = 562,171,665,584.62 × 562,171,665,584.62
  4. Step 4: Simplify right side
    269,915,460,813x = 316,036,981,586,185,789,898,752
  5. Step 5: Solve for x
    x = 316,036,981,586,185,789,898,752/269,915,460,813
  6. Step 6: Final answer
    x = 1,170,873,949,325.71

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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.