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Finding the Third Proportional to 5,685,424 and 9,282,799

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Solution

The third proportional to 5,685,424 and 9,282,799 is: 15,156,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,424 : 9,282,799 = 9,282,799 : x
  2. Step 2: Convert to fraction form
    5,685,424/9,282,799 = 9,282,799/x
  3. Step 3: Cross multiply
    5,685,424x = 9,282,799 × 9,282,799
  4. Step 4: Simplify right side
    5,685,424x = 86,170,357,274,401
  5. Step 5: Solve for x
    x = 86,170,357,274,401/5,685,424
  6. Step 6: Final answer
    x = 15,156,364.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.