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Finding the Third Proportional to 5,835,769 and 9,376,401

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Solution

The third proportional to 5,835,769 and 9,376,401 is: 15,065,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835,769 : 9,376,401 = 9,376,401 : x
  2. Step 2: Convert to fraction form
    5,835,769/9,376,401 = 9,376,401/x
  3. Step 3: Cross multiply
    5,835,769x = 9,376,401 × 9,376,401
  4. Step 4: Simplify right side
    5,835,769x = 87,916,895,712,801
  5. Step 5: Solve for x
    x = 87,916,895,712,801/5,835,769
  6. Step 6: Final answer
    x = 15,065,177.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.