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Finding the Third Proportional to 6,314,014.50 and 13,636,911

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Solution

The third proportional to 6,314,014.50 and 13,636,911 is: 29,452,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,014.50 : 13,636,911 = 13,636,911 : x
  2. Step 2: Convert to fraction form
    6,314,014.50/13,636,911 = 13,636,911/x
  3. Step 3: Cross multiply
    6,314,014.50x = 13,636,911 × 13,636,911
  4. Step 4: Simplify right side
    6,314,014.50x = 185,965,341,621,921
  5. Step 5: Solve for x
    x = 185,965,341,621,921/6,314,014.50
  6. Step 6: Final answer
    x = 29,452,789.76

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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.