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Finding the Third Proportional to 7,583,572 and 16,230,027

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Solution

The third proportional to 7,583,572 and 16,230,027 is: 34,734,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,572 : 16,230,027 = 16,230,027 : x
  2. Step 2: Convert to fraction form
    7,583,572/16,230,027 = 16,230,027/x
  3. Step 3: Cross multiply
    7,583,572x = 16,230,027 × 16,230,027
  4. Step 4: Simplify right side
    7,583,572x = 263,413,776,420,729
  5. Step 5: Solve for x
    x = 263,413,776,420,729/7,583,572
  6. Step 6: Final answer
    x = 34,734,789.41

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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.