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Finding the Third Proportional to 3,033,877 and 6,517,993

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Solution

The third proportional to 3,033,877 and 6,517,993 is: 14,003,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033,877 : 6,517,993 = 6,517,993 : x
  2. Step 2: Convert to fraction form
    3,033,877/6,517,993 = 6,517,993/x
  3. Step 3: Cross multiply
    3,033,877x = 6,517,993 × 6,517,993
  4. Step 4: Simplify right side
    3,033,877x = 42,484,232,748,049
  5. Step 5: Solve for x
    x = 42,484,232,748,049/3,033,877
  6. Step 6: Final answer
    x = 14,003,281.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.