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Finding the Third Proportional to 5,678,976 and 12,321,204

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Solution

The third proportional to 5,678,976 and 12,321,204 is: 26,732,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,976 : 12,321,204 = 12,321,204 : x
  2. Step 2: Convert to fraction form
    5,678,976/12,321,204 = 12,321,204/x
  3. Step 3: Cross multiply
    5,678,976x = 12,321,204 × 12,321,204
  4. Step 4: Simplify right side
    5,678,976x = 151,812,068,009,616
  5. Step 5: Solve for x
    x = 151,812,068,009,616/5,678,976
  6. Step 6: Final answer
    x = 26,732,296.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.