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Finding the Third Proportional to 5,833,593 and 8,402,924.25

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Solution

The third proportional to 5,833,593 and 8,402,924.25 is: 12,103,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,593 : 8,402,924.25 = 8,402,924.25 : x
  2. Step 2: Convert to fraction form
    5,833,593/8,402,924.25 = 8,402,924.25/x
  3. Step 3: Cross multiply
    5,833,593x = 8,402,924.25 × 8,402,924.25
  4. Step 4: Simplify right side
    5,833,593x = 70,609,135,951,238.06
  5. Step 5: Solve for x
    x = 70,609,135,951,238.06/5,833,593
  6. Step 6: Final answer
    x = 12,103,884.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.