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Finding the Third Proportional to 633,759,430 and 1,361,229,692

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Solution

The third proportional to 633,759,430 and 1,361,229,692 is: 2,923,737,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,759,430 : 1,361,229,692 = 1,361,229,692 : x
  2. Step 2: Convert to fraction form
    633,759,430/1,361,229,692 = 1,361,229,692/x
  3. Step 3: Cross multiply
    633,759,430x = 1,361,229,692 × 1,361,229,692
  4. Step 4: Simplify right side
    633,759,430x = 1,852,946,274,382,414,848
  5. Step 5: Solve for x
    x = 1,852,946,274,382,414,848/633,759,430
  6. Step 6: Final answer
    x = 2,923,737,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.