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Finding the Third Proportional to 965,825,264 and 2,094,979,912

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Solution

The third proportional to 965,825,264 and 2,094,979,912 is: 4,544,238,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,825,264 : 2,094,979,912 = 2,094,979,912 : x
  2. Step 2: Convert to fraction form
    965,825,264/2,094,979,912 = 2,094,979,912/x
  3. Step 3: Cross multiply
    965,825,264x = 2,094,979,912 × 2,094,979,912
  4. Step 4: Simplify right side
    965,825,264x = 4,388,940,831,683,527,680
  5. Step 5: Solve for x
    x = 4,388,940,831,683,527,680/965,825,264
  6. Step 6: Final answer
    x = 4,544,238,999.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.