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Finding the Third Proportional to 9,964,026 and 21,456,228

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Solution

The third proportional to 9,964,026 and 21,456,228 is: 46,203,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964,026 : 21,456,228 = 21,456,228 : x
  2. Step 2: Convert to fraction form
    9,964,026/21,456,228 = 21,456,228/x
  3. Step 3: Cross multiply
    9,964,026x = 21,456,228 × 21,456,228
  4. Step 4: Simplify right side
    9,964,026x = 460,369,719,987,984
  5. Step 5: Solve for x
    x = 460,369,719,987,984/9,964,026
  6. Step 6: Final answer
    x = 46,203,183.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.