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Finding the Third Proportional to 5,387,136 and 11,628,844

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Solution

The third proportional to 5,387,136 and 11,628,844 is: 25,102,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387,136 : 11,628,844 = 11,628,844 : x
  2. Step 2: Convert to fraction form
    5,387,136/11,628,844 = 11,628,844/x
  3. Step 3: Cross multiply
    5,387,136x = 11,628,844 × 11,628,844
  4. Step 4: Simplify right side
    5,387,136x = 135,230,012,776,336
  5. Step 5: Solve for x
    x = 135,230,012,776,336/5,387,136
  6. Step 6: Final answer
    x = 25,102,394.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.