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Finding the Third Proportional to 5,977,478.25 and 12,825,747

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Solution

The third proportional to 5,977,478.25 and 12,825,747 is: 27,519,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,478.25 : 12,825,747 = 12,825,747 : x
  2. Step 2: Convert to fraction form
    5,977,478.25/12,825,747 = 12,825,747/x
  3. Step 3: Cross multiply
    5,977,478.25x = 12,825,747 × 12,825,747
  4. Step 4: Simplify right side
    5,977,478.25x = 164,499,786,108,009
  5. Step 5: Solve for x
    x = 164,499,786,108,009/5,977,478.25
  6. Step 6: Final answer
    x = 27,519,930.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.