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Finding the Third Proportional to 5,317,650 and 11,597,742

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Solution

The third proportional to 5,317,650 and 11,597,742 is: 25,294,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317,650 : 11,597,742 = 11,597,742 : x
  2. Step 2: Convert to fraction form
    5,317,650/11,597,742 = 11,597,742/x
  3. Step 3: Cross multiply
    5,317,650x = 11,597,742 × 11,597,742
  4. Step 4: Simplify right side
    5,317,650x = 134,507,619,498,564
  5. Step 5: Solve for x
    x = 134,507,619,498,564/5,317,650
  6. Step 6: Final answer
    x = 25,294,560.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.