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Finding the Third Proportional to 5,831,838 and 8,208,864

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Solution

The third proportional to 5,831,838 and 8,208,864 is: 11,554,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,838 : 8,208,864 = 8,208,864 : x
  2. Step 2: Convert to fraction form
    5,831,838/8,208,864 = 8,208,864/x
  3. Step 3: Cross multiply
    5,831,838x = 8,208,864 × 8,208,864
  4. Step 4: Simplify right side
    5,831,838x = 67,385,448,170,496
  5. Step 5: Solve for x
    x = 67,385,448,170,496/5,831,838
  6. Step 6: Final answer
    x = 11,554,753.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.