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Finding the Third Proportional to 6,468,208 and 13,126,488

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Solution

The third proportional to 6,468,208 and 13,126,488 is: 26,638,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,208 : 13,126,488 = 13,126,488 : x
  2. Step 2: Convert to fraction form
    6,468,208/13,126,488 = 13,126,488/x
  3. Step 3: Cross multiply
    6,468,208x = 13,126,488 × 13,126,488
  4. Step 4: Simplify right side
    6,468,208x = 172,304,687,214,144
  5. Step 5: Solve for x
    x = 172,304,687,214,144/6,468,208
  6. Step 6: Final answer
    x = 26,638,705.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.