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Finding the Third Proportional to 9,722,772 and 21,195,036

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Solution

The third proportional to 9,722,772 and 21,195,036 is: 46,203,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,772 : 21,195,036 = 21,195,036 : x
  2. Step 2: Convert to fraction form
    9,722,772/21,195,036 = 21,195,036/x
  3. Step 3: Cross multiply
    9,722,772x = 21,195,036 × 21,195,036
  4. Step 4: Simplify right side
    9,722,772x = 449,229,551,041,296
  5. Step 5: Solve for x
    x = 449,229,551,041,296/9,722,772
  6. Step 6: Final answer
    x = 46,203,855.35

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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.