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Finding the Third Proportional to 5,761,822 and 12,377,668

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Solution

The third proportional to 5,761,822 and 12,377,668 is: 26,589,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761,822 : 12,377,668 = 12,377,668 : x
  2. Step 2: Convert to fraction form
    5,761,822/12,377,668 = 12,377,668/x
  3. Step 3: Cross multiply
    5,761,822x = 12,377,668 × 12,377,668
  4. Step 4: Simplify right side
    5,761,822x = 153,206,665,118,224
  5. Step 5: Solve for x
    x = 153,206,665,118,224/5,761,822
  6. Step 6: Final answer
    x = 26,589,968.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.