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Finding the Third Proportional to 2,376,642 and 5,188,758

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Solution

The third proportional to 2,376,642 and 5,188,758 is: 11,328,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,642 : 5,188,758 = 5,188,758 : x
  2. Step 2: Convert to fraction form
    2,376,642/5,188,758 = 5,188,758/x
  3. Step 3: Cross multiply
    2,376,642x = 5,188,758 × 5,188,758
  4. Step 4: Simplify right side
    2,376,642x = 26,923,209,582,564
  5. Step 5: Solve for x
    x = 26,923,209,582,564/2,376,642
  6. Step 6: Final answer
    x = 11,328,256.25

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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.