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Finding the Third Proportional to 4,448,069 and 9,711,766

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Solution

The third proportional to 4,448,069 and 9,711,766 is: 21,204,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,069 : 9,711,766 = 9,711,766 : x
  2. Step 2: Convert to fraction form
    4,448,069/9,711,766 = 9,711,766/x
  3. Step 3: Cross multiply
    4,448,069x = 9,711,766 × 9,711,766
  4. Step 4: Simplify right side
    4,448,069x = 94,318,398,838,756
  5. Step 5: Solve for x
    x = 94,318,398,838,756/4,448,069
  6. Step 6: Final answer
    x = 21,204,347.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.