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Finding the Third Proportional to 9,722,816 and 21,195,136

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Solution

The third proportional to 9,722,816 and 21,195,136 is: 46,204,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,816 : 21,195,136 = 21,195,136 : x
  2. Step 2: Convert to fraction form
    9,722,816/21,195,136 = 21,195,136/x
  3. Step 3: Cross multiply
    9,722,816x = 21,195,136 × 21,195,136
  4. Step 4: Simplify right side
    9,722,816x = 449,233,790,058,496
  5. Step 5: Solve for x
    x = 449,233,790,058,496/9,722,816
  6. Step 6: Final answer
    x = 46,204,082.24

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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.