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Finding the Third Proportional to 3,131,772 and 6,673,728

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Solution

The third proportional to 3,131,772 and 6,673,728 is: 14,221,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131,772 : 6,673,728 = 6,673,728 : x
  2. Step 2: Convert to fraction form
    3,131,772/6,673,728 = 6,673,728/x
  3. Step 3: Cross multiply
    3,131,772x = 6,673,728 × 6,673,728
  4. Step 4: Simplify right side
    3,131,772x = 44,538,645,417,984
  5. Step 5: Solve for x
    x = 44,538,645,417,984/3,131,772
  6. Step 6: Final answer
    x = 14,221,547.87

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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.