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Finding the Third Proportional to 3,101,324 and 6,578,380

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Solution

The third proportional to 3,101,324 and 6,578,380 is: 13,953,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,324 : 6,578,380 = 6,578,380 : x
  2. Step 2: Convert to fraction form
    3,101,324/6,578,380 = 6,578,380/x
  3. Step 3: Cross multiply
    3,101,324x = 6,578,380 × 6,578,380
  4. Step 4: Simplify right side
    3,101,324x = 43,275,083,424,400
  5. Step 5: Solve for x
    x = 43,275,083,424,400/3,101,324
  6. Step 6: Final answer
    x = 13,953,744.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.