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Finding the Third Proportional to 5,151,074 and 11,187,844

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Solution

The third proportional to 5,151,074 and 11,187,844 is: 24,299,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151,074 : 11,187,844 = 11,187,844 : x
  2. Step 2: Convert to fraction form
    5,151,074/11,187,844 = 11,187,844/x
  3. Step 3: Cross multiply
    5,151,074x = 11,187,844 × 11,187,844
  4. Step 4: Simplify right side
    5,151,074x = 125,167,853,368,336
  5. Step 5: Solve for x
    x = 125,167,853,368,336/5,151,074
  6. Step 6: Final answer
    x = 24,299,370.07

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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.