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Finding the Third Proportional to 5,416,599 and 11,022,366

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Solution

The third proportional to 5,416,599 and 11,022,366 is: 22,429,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,599 : 11,022,366 = 11,022,366 : x
  2. Step 2: Convert to fraction form
    5,416,599/11,022,366 = 11,022,366/x
  3. Step 3: Cross multiply
    5,416,599x = 11,022,366 × 11,022,366
  4. Step 4: Simplify right side
    5,416,599x = 121,492,552,237,956
  5. Step 5: Solve for x
    x = 121,492,552,237,956/5,416,599
  6. Step 6: Final answer
    x = 22,429,674.46

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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.