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Finding the Third Proportional to 960,092,753.63 and 2,094,629,989.50

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Solution

The third proportional to 960,092,753.63 and 2,094,629,989.50 is: 4,569,844,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,092,753.63 : 2,094,629,989.50 = 2,094,629,989.50 : x
  2. Step 2: Convert to fraction form
    960,092,753.63/2,094,629,989.50 = 2,094,629,989.50/x
  3. Step 3: Cross multiply
    960,092,753.63x = 2,094,629,989.50 × 2,094,629,989.50
  4. Step 4: Simplify right side
    960,092,753.63x = 4,387,474,792,912,770,048
  5. Step 5: Solve for x
    x = 4,387,474,792,912,770,048/960,092,753.63
  6. Step 6: Final answer
    x = 4,569,844,711.72

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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.