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Finding the Third Proportional to 2,384,168 and 5,172,008

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Solution

The third proportional to 2,384,168 and 5,172,008 is: 11,219,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,168 : 5,172,008 = 5,172,008 : x
  2. Step 2: Convert to fraction form
    2,384,168/5,172,008 = 5,172,008/x
  3. Step 3: Cross multiply
    2,384,168x = 5,172,008 × 5,172,008
  4. Step 4: Simplify right side
    2,384,168x = 26,749,666,752,064
  5. Step 5: Solve for x
    x = 26,749,666,752,064/2,384,168
  6. Step 6: Final answer
    x = 11,219,707.15

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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.