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Finding the Third Proportional to 5,530,023 and 8,463,432

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Solution

The third proportional to 5,530,023 and 8,463,432 is: 12,952,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530,023 : 8,463,432 = 8,463,432 : x
  2. Step 2: Convert to fraction form
    5,530,023/8,463,432 = 8,463,432/x
  3. Step 3: Cross multiply
    5,530,023x = 8,463,432 × 8,463,432
  4. Step 4: Simplify right side
    5,530,023x = 71,629,681,218,624
  5. Step 5: Solve for x
    x = 71,629,681,218,624/5,530,023
  6. Step 6: Final answer
    x = 12,952,872.21

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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.