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Finding the Third Proportional to 5,043,819 and 8,029,630.50

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Solution

The third proportional to 5,043,819 and 8,029,630.50 is: 12,782,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043,819 : 8,029,630.50 = 8,029,630.50 : x
  2. Step 2: Convert to fraction form
    5,043,819/8,029,630.50 = 8,029,630.50/x
  3. Step 3: Cross multiply
    5,043,819x = 8,029,630.50 × 8,029,630.50
  4. Step 4: Simplify right side
    5,043,819x = 64,474,965,966,530.25
  5. Step 5: Solve for x
    x = 64,474,965,966,530.25/5,043,819
  6. Step 6: Final answer
    x = 12,782,965.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.