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Finding the Third Proportional to 6,170,736 and 13,402,872

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Solution

The third proportional to 6,170,736 and 13,402,872 is: 29,111,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,736 : 13,402,872 = 13,402,872 : x
  2. Step 2: Convert to fraction form
    6,170,736/13,402,872 = 13,402,872/x
  3. Step 3: Cross multiply
    6,170,736x = 13,402,872 × 13,402,872
  4. Step 4: Simplify right side
    6,170,736x = 179,636,977,848,384
  5. Step 5: Solve for x
    x = 179,636,977,848,384/6,170,736
  6. Step 6: Final answer
    x = 29,111,110.55

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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.