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Finding the Third Proportional to 2,934,081 and 6,302,008

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Solution

The third proportional to 2,934,081 and 6,302,008 is: 13,535,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,081 : 6,302,008 = 6,302,008 : x
  2. Step 2: Convert to fraction form
    2,934,081/6,302,008 = 6,302,008/x
  3. Step 3: Cross multiply
    2,934,081x = 6,302,008 × 6,302,008
  4. Step 4: Simplify right side
    2,934,081x = 39,715,304,832,064
  5. Step 5: Solve for x
    x = 39,715,304,832,064/2,934,081
  6. Step 6: Final answer
    x = 13,535,858.36

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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.