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Finding the Third Proportional to 3,081,414 and 6,870,930

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Solution

The third proportional to 3,081,414 and 6,870,930 is: 15,320,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081,414 : 6,870,930 = 6,870,930 : x
  2. Step 2: Convert to fraction form
    3,081,414/6,870,930 = 6,870,930/x
  3. Step 3: Cross multiply
    3,081,414x = 6,870,930 × 6,870,930
  4. Step 4: Simplify right side
    3,081,414x = 47,209,679,064,900
  5. Step 5: Solve for x
    x = 47,209,679,064,900/3,081,414
  6. Step 6: Final answer
    x = 15,320,784.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.