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Finding the Third Proportional to 7,842,285 and 16,987,212

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Solution

The third proportional to 7,842,285 and 16,987,212 is: 36,796,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842,285 : 16,987,212 = 16,987,212 : x
  2. Step 2: Convert to fraction form
    7,842,285/16,987,212 = 16,987,212/x
  3. Step 3: Cross multiply
    7,842,285x = 16,987,212 × 16,987,212
  4. Step 4: Simplify right side
    7,842,285x = 288,565,371,532,944
  5. Step 5: Solve for x
    x = 288,565,371,532,944/7,842,285
  6. Step 6: Final answer
    x = 36,796,083.22

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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.