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Finding the Third Proportional to 6,423,951 and 13,906,397

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Solution

The third proportional to 6,423,951 and 13,906,397 is: 30,104,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,951 : 13,906,397 = 13,906,397 : x
  2. Step 2: Convert to fraction form
    6,423,951/13,906,397 = 13,906,397/x
  3. Step 3: Cross multiply
    6,423,951x = 13,906,397 × 13,906,397
  4. Step 4: Simplify right side
    6,423,951x = 193,387,877,521,609
  5. Step 5: Solve for x
    x = 193,387,877,521,609/6,423,951
  6. Step 6: Final answer
    x = 30,104,195.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.