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Finding the Third Proportional to 5,231,924 and 7,853,103

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Solution

The third proportional to 5,231,924 and 7,853,103 is: 11,787,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231,924 : 7,853,103 = 7,853,103 : x
  2. Step 2: Convert to fraction form
    5,231,924/7,853,103 = 7,853,103/x
  3. Step 3: Cross multiply
    5,231,924x = 7,853,103 × 7,853,103
  4. Step 4: Simplify right side
    5,231,924x = 61,671,226,728,609
  5. Step 5: Solve for x
    x = 61,671,226,728,609/5,231,924
  6. Step 6: Final answer
    x = 11,787,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.