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Finding the Third Proportional to 4,261,409 and 9,155,266

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Solution

The third proportional to 4,261,409 and 9,155,266 is: 19,669,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261,409 : 9,155,266 = 9,155,266 : x
  2. Step 2: Convert to fraction form
    4,261,409/9,155,266 = 9,155,266/x
  3. Step 3: Cross multiply
    4,261,409x = 9,155,266 × 9,155,266
  4. Step 4: Simplify right side
    4,261,409x = 83,818,895,530,756
  5. Step 5: Solve for x
    x = 83,818,895,530,756/4,261,409
  6. Step 6: Final answer
    x = 19,669,291.43

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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.