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Finding the Third Proportional to 952,247,127,084 and 2,055,976,078,728

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Solution

The third proportional to 952,247,127,084 and 2,055,976,078,728 is: 4,439,013,272,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,247,127,084 : 2,055,976,078,728 = 2,055,976,078,728 : x
  2. Step 2: Convert to fraction form
    952,247,127,084/2,055,976,078,728 = 2,055,976,078,728/x
  3. Step 3: Cross multiply
    952,247,127,084x = 2,055,976,078,728 × 2,055,976,078,728
  4. Step 4: Simplify right side
    952,247,127,084x = 4,227,037,636,301,763,421,143,040
  5. Step 5: Solve for x
    x = 4,227,037,636,301,763,421,143,040/952,247,127,084
  6. Step 6: Final answer
    x = 4,439,013,272,999.76

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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.