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Finding the Third Proportional to 3,143,072 and 6,786,976

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Solution

The third proportional to 3,143,072 and 6,786,976 is: 14,655,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,072 : 6,786,976 = 6,786,976 : x
  2. Step 2: Convert to fraction form
    3,143,072/6,786,976 = 6,786,976/x
  3. Step 3: Cross multiply
    3,143,072x = 6,786,976 × 6,786,976
  4. Step 4: Simplify right side
    3,143,072x = 46,063,043,224,576
  5. Step 5: Solve for x
    x = 46,063,043,224,576/3,143,072
  6. Step 6: Final answer
    x = 14,655,420.95

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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.