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Finding the Third Proportional to 332,341,650 and 769,310,780.63

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Solution

The third proportional to 332,341,650 and 769,310,780.63 is: 1,780,815,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,341,650 : 769,310,780.63 = 769,310,780.63 : x
  2. Step 2: Convert to fraction form
    332,341,650/769,310,780.63 = 769,310,780.63/x
  3. Step 3: Cross multiply
    332,341,650x = 769,310,780.63 × 769,310,780.63
  4. Step 4: Simplify right side
    332,341,650x = 591,839,077,185,846,912
  5. Step 5: Solve for x
    x = 591,839,077,185,846,912/332,341,650
  6. Step 6: Final answer
    x = 1,780,815,245.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.