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Finding the Third Proportional to 6,535,834 and 14,361,763

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Solution

The third proportional to 6,535,834 and 14,361,763 is: 31,558,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535,834 : 14,361,763 = 14,361,763 : x
  2. Step 2: Convert to fraction form
    6,535,834/14,361,763 = 14,361,763/x
  3. Step 3: Cross multiply
    6,535,834x = 14,361,763 × 14,361,763
  4. Step 4: Simplify right side
    6,535,834x = 206,260,236,468,169
  5. Step 5: Solve for x
    x = 206,260,236,468,169/6,535,834
  6. Step 6: Final answer
    x = 31,558,365.23

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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.