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Finding the Third Proportional to 5,991,711 and 12,939,457.50

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Solution

The third proportional to 5,991,711 and 12,939,457.50 is: 27,943,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991,711 : 12,939,457.50 = 12,939,457.50 : x
  2. Step 2: Convert to fraction form
    5,991,711/12,939,457.50 = 12,939,457.50/x
  3. Step 3: Cross multiply
    5,991,711x = 12,939,457.50 × 12,939,457.50
  4. Step 4: Simplify right side
    5,991,711x = 167,429,560,394,306.25
  5. Step 5: Solve for x
    x = 167,429,560,394,306.25/5,991,711
  6. Step 6: Final answer
    x = 27,943,530.72

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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.