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Finding the Third Proportional to 5,334,836 and 12,589,416

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Solution

The third proportional to 5,334,836 and 12,589,416 is: 29,709,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334,836 : 12,589,416 = 12,589,416 : x
  2. Step 2: Convert to fraction form
    5,334,836/12,589,416 = 12,589,416/x
  3. Step 3: Cross multiply
    5,334,836x = 12,589,416 × 12,589,416
  4. Step 4: Simplify right side
    5,334,836x = 158,493,395,221,056
  5. Step 5: Solve for x
    x = 158,493,395,221,056/5,334,836
  6. Step 6: Final answer
    x = 29,709,141.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.