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Finding the Third Proportional to 6,830,609 and 14,796,238

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Solution

The third proportional to 6,830,609 and 14,796,238 is: 32,051,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830,609 : 14,796,238 = 14,796,238 : x
  2. Step 2: Convert to fraction form
    6,830,609/14,796,238 = 14,796,238/x
  3. Step 3: Cross multiply
    6,830,609x = 14,796,238 × 14,796,238
  4. Step 4: Simplify right side
    6,830,609x = 218,928,658,952,644
  5. Step 5: Solve for x
    x = 218,928,658,952,644/6,830,609
  6. Step 6: Final answer
    x = 32,051,118.57

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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.