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Finding the Third Proportional to 2,365,012 and 5,187,827

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Solution

The third proportional to 2,365,012 and 5,187,827 is: 11,379,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,012 : 5,187,827 = 5,187,827 : x
  2. Step 2: Convert to fraction form
    2,365,012/5,187,827 = 5,187,827/x
  3. Step 3: Cross multiply
    2,365,012x = 5,187,827 × 5,187,827
  4. Step 4: Simplify right side
    2,365,012x = 26,913,548,981,929
  5. Step 5: Solve for x
    x = 26,913,548,981,929/2,365,012
  6. Step 6: Final answer
    x = 11,379,878.40

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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.