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Finding the Third Proportional to 323,878,991.50 and 699,365,954

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Solution

The third proportional to 323,878,991.50 and 699,365,954 is: 1,510,171,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,878,991.50 : 699,365,954 = 699,365,954 : x
  2. Step 2: Convert to fraction form
    323,878,991.50/699,365,954 = 699,365,954/x
  3. Step 3: Cross multiply
    323,878,991.50x = 699,365,954 × 699,365,954
  4. Step 4: Simplify right side
    323,878,991.50x = 489,112,737,614,330,112
  5. Step 5: Solve for x
    x = 489,112,737,614,330,112/323,878,991.50
  6. Step 6: Final answer
    x = 1,510,171,238.18

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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.