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Finding the Third Proportional to 3,131,764 and 6,673,468

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Solution

The third proportional to 3,131,764 and 6,673,468 is: 14,220,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131,764 : 6,673,468 = 6,673,468 : x
  2. Step 2: Convert to fraction form
    3,131,764/6,673,468 = 6,673,468/x
  3. Step 3: Cross multiply
    3,131,764x = 6,673,468 × 6,673,468
  4. Step 4: Simplify right side
    3,131,764x = 44,535,175,147,024
  5. Step 5: Solve for x
    x = 44,535,175,147,024/3,131,764
  6. Step 6: Final answer
    x = 14,220,476.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.