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Finding the Third Proportional to 5,228,766 and 7,993,641

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Solution

The third proportional to 5,228,766 and 7,993,641 is: 12,220,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228,766 : 7,993,641 = 7,993,641 : x
  2. Step 2: Convert to fraction form
    5,228,766/7,993,641 = 7,993,641/x
  3. Step 3: Cross multiply
    5,228,766x = 7,993,641 × 7,993,641
  4. Step 4: Simplify right side
    5,228,766x = 63,898,296,436,881
  5. Step 5: Solve for x
    x = 63,898,296,436,881/5,228,766
  6. Step 6: Final answer
    x = 12,220,530.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.