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Finding the Third Proportional to 3,842,401.50 and 8,254,658.25

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Solution

The third proportional to 3,842,401.50 and 8,254,658.25 is: 17,733,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842,401.50 : 8,254,658.25 = 8,254,658.25 : x
  2. Step 2: Convert to fraction form
    3,842,401.50/8,254,658.25 = 8,254,658.25/x
  3. Step 3: Cross multiply
    3,842,401.50x = 8,254,658.25 × 8,254,658.25
  4. Step 4: Simplify right side
    3,842,401.50x = 68,139,382,824,293.06
  5. Step 5: Solve for x
    x = 68,139,382,824,293.06/3,842,401.50
  6. Step 6: Final answer
    x = 17,733,540.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.