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Finding the Third Proportional to 4,203,569 and 9,051,835

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Solution

The third proportional to 4,203,569 and 9,051,835 is: 19,491,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203,569 : 9,051,835 = 9,051,835 : x
  2. Step 2: Convert to fraction form
    4,203,569/9,051,835 = 9,051,835/x
  3. Step 3: Cross multiply
    4,203,569x = 9,051,835 × 9,051,835
  4. Step 4: Simplify right side
    4,203,569x = 81,935,716,867,225
  5. Step 5: Solve for x
    x = 81,935,716,867,225/4,203,569
  6. Step 6: Final answer
    x = 19,491,940.51

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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.