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Finding the Third Proportional to 6,151,678 and 13,461,874

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Solution

The third proportional to 6,151,678 and 13,461,874 is: 29,458,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151,678 : 13,461,874 = 13,461,874 : x
  2. Step 2: Convert to fraction form
    6,151,678/13,461,874 = 13,461,874/x
  3. Step 3: Cross multiply
    6,151,678x = 13,461,874 × 13,461,874
  4. Step 4: Simplify right side
    6,151,678x = 181,222,051,591,876
  5. Step 5: Solve for x
    x = 181,222,051,591,876/6,151,678
  6. Step 6: Final answer
    x = 29,458,962.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.