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Finding the Third Proportional to 3,140,400 and 6,900,123

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Solution

The third proportional to 3,140,400 and 6,900,123 is: 15,161,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,400 : 6,900,123 = 6,900,123 : x
  2. Step 2: Convert to fraction form
    3,140,400/6,900,123 = 6,900,123/x
  3. Step 3: Cross multiply
    3,140,400x = 6,900,123 × 6,900,123
  4. Step 4: Simplify right side
    3,140,400x = 47,611,697,415,129
  5. Step 5: Solve for x
    x = 47,611,697,415,129/3,140,400
  6. Step 6: Final answer
    x = 15,161,029.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.