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Finding the Third Proportional to 4,712,972 and 7,474,782

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Solution

The third proportional to 4,712,972 and 7,474,782 is: 11,855,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,972 : 7,474,782 = 7,474,782 : x
  2. Step 2: Convert to fraction form
    4,712,972/7,474,782 = 7,474,782/x
  3. Step 3: Cross multiply
    4,712,972x = 7,474,782 × 7,474,782
  4. Step 4: Simplify right side
    4,712,972x = 55,872,365,947,524
  5. Step 5: Solve for x
    x = 55,872,365,947,524/4,712,972
  6. Step 6: Final answer
    x = 11,855,017.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.