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Finding the Third Proportional to 9,719,105 and 20,996,722

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Solution

The third proportional to 9,719,105 and 20,996,722 is: 45,360,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719,105 : 20,996,722 = 20,996,722 : x
  2. Step 2: Convert to fraction form
    9,719,105/20,996,722 = 20,996,722/x
  3. Step 3: Cross multiply
    9,719,105x = 20,996,722 × 20,996,722
  4. Step 4: Simplify right side
    9,719,105x = 440,862,334,745,284
  5. Step 5: Solve for x
    x = 440,862,334,745,284/9,719,105
  6. Step 6: Final answer
    x = 45,360,383.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.