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Finding the Third Proportional to 111,966,039,963 and 246,754,324,788

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Solution

The third proportional to 111,966,039,963 and 246,754,324,788 is: 543,805,039,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,966,039,963 : 246,754,324,788 = 246,754,324,788 : x
  2. Step 2: Convert to fraction form
    111,966,039,963/246,754,324,788 = 246,754,324,788/x
  3. Step 3: Cross multiply
    111,966,039,963x = 246,754,324,788 × 246,754,324,788
  4. Step 4: Simplify right side
    111,966,039,963x = 60,887,696,801,581,789,872,128
  5. Step 5: Solve for x
    x = 60,887,696,801,581,789,872,128/111,966,039,963
  6. Step 6: Final answer
    x = 543,805,039,650.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.