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Finding the Third Proportional to 14,195,630 and 30,782,884

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Solution

The third proportional to 14,195,630 and 30,782,884 is: 66,751,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195,630 : 30,782,884 = 30,782,884 : x
  2. Step 2: Convert to fraction form
    14,195,630/30,782,884 = 30,782,884/x
  3. Step 3: Cross multiply
    14,195,630x = 30,782,884 × 30,782,884
  4. Step 4: Simplify right side
    14,195,630x = 947,585,947,357,456
  5. Step 5: Solve for x
    x = 947,585,947,357,456/14,195,630
  6. Step 6: Final answer
    x = 66,751,947.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.