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Finding the Third Proportional to 9,627,699 and 20,982,102

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Solution

The third proportional to 9,627,699 and 20,982,102 is: 45,727,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627,699 : 20,982,102 = 20,982,102 : x
  2. Step 2: Convert to fraction form
    9,627,699/20,982,102 = 20,982,102/x
  3. Step 3: Cross multiply
    9,627,699x = 20,982,102 × 20,982,102
  4. Step 4: Simplify right side
    9,627,699x = 440,248,604,338,404
  5. Step 5: Solve for x
    x = 440,248,604,338,404/9,627,699
  6. Step 6: Final answer
    x = 45,727,292.09

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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.