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Finding the Third Proportional to 3,140,289 and 6,777,954

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Solution

The third proportional to 3,140,289 and 6,777,954 is: 14,629,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,289 : 6,777,954 = 6,777,954 : x
  2. Step 2: Convert to fraction form
    3,140,289/6,777,954 = 6,777,954/x
  3. Step 3: Cross multiply
    3,140,289x = 6,777,954 × 6,777,954
  4. Step 4: Simplify right side
    3,140,289x = 45,940,660,426,116
  5. Step 5: Solve for x
    x = 45,940,660,426,116/3,140,289
  6. Step 6: Final answer
    x = 14,629,437.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.