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Finding the Third Proportional to 195,976,736 and 427,814,440

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Solution

The third proportional to 195,976,736 and 427,814,440 is: 933,912,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,976,736 : 427,814,440 = 427,814,440 : x
  2. Step 2: Convert to fraction form
    195,976,736/427,814,440 = 427,814,440/x
  3. Step 3: Cross multiply
    195,976,736x = 427,814,440 × 427,814,440
  4. Step 4: Simplify right side
    195,976,736x = 183,025,195,072,513,600
  5. Step 5: Solve for x
    x = 183,025,195,072,513,600/195,976,736
  6. Step 6: Final answer
    x = 933,912,865.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.