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Finding the Third Proportional to 3,830,820.50 and 8,242,837

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Solution

The third proportional to 3,830,820.50 and 8,242,837 is: 17,736,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,820.50 : 8,242,837 = 8,242,837 : x
  2. Step 2: Convert to fraction form
    3,830,820.50/8,242,837 = 8,242,837/x
  3. Step 3: Cross multiply
    3,830,820.50x = 8,242,837 × 8,242,837
  4. Step 4: Simplify right side
    3,830,820.50x = 67,944,361,808,569
  5. Step 5: Solve for x
    x = 67,944,361,808,569/3,830,820.50
  6. Step 6: Final answer
    x = 17,736,242.62

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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.