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Finding the Third Proportional to 3,837,140 and 8,254,928

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Solution

The third proportional to 3,837,140 and 8,254,928 is: 17,759,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,140 : 8,254,928 = 8,254,928 : x
  2. Step 2: Convert to fraction form
    3,837,140/8,254,928 = 8,254,928/x
  3. Step 3: Cross multiply
    3,837,140x = 8,254,928 × 8,254,928
  4. Step 4: Simplify right side
    3,837,140x = 68,143,836,285,184
  5. Step 5: Solve for x
    x = 68,143,836,285,184/3,837,140
  6. Step 6: Final answer
    x = 17,759,017.47

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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.