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Finding the Third Proportional to 4,100,834 and 9,581,399

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Solution

The third proportional to 4,100,834 and 9,581,399 is: 22,386,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,834 : 9,581,399 = 9,581,399 : x
  2. Step 2: Convert to fraction form
    4,100,834/9,581,399 = 9,581,399/x
  3. Step 3: Cross multiply
    4,100,834x = 9,581,399 × 9,581,399
  4. Step 4: Simplify right side
    4,100,834x = 91,803,206,797,201
  5. Step 5: Solve for x
    x = 91,803,206,797,201/4,100,834
  6. Step 6: Final answer
    x = 22,386,472.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.