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Finding the Third Proportional to 6,337,170 and 13,684,434

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Solution

The third proportional to 6,337,170 and 13,684,434 is: 29,550,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,170 : 13,684,434 = 13,684,434 : x
  2. Step 2: Convert to fraction form
    6,337,170/13,684,434 = 13,684,434/x
  3. Step 3: Cross multiply
    6,337,170x = 13,684,434 × 13,684,434
  4. Step 4: Simplify right side
    6,337,170x = 187,263,733,900,356
  5. Step 5: Solve for x
    x = 187,263,733,900,356/6,337,170
  6. Step 6: Final answer
    x = 29,550,056.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.