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Finding the Third Proportional to 4,294,868 and 9,204,535

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Solution

The third proportional to 4,294,868 and 9,204,535 is: 19,726,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294,868 : 9,204,535 = 9,204,535 : x
  2. Step 2: Convert to fraction form
    4,294,868/9,204,535 = 9,204,535/x
  3. Step 3: Cross multiply
    4,294,868x = 9,204,535 × 9,204,535
  4. Step 4: Simplify right side
    4,294,868x = 84,723,464,566,225
  5. Step 5: Solve for x
    x = 84,723,464,566,225/4,294,868
  6. Step 6: Final answer
    x = 19,726,674.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.