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Finding the Third Proportional to 111,966,039,969 and 246,754,324,803

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Solution

The third proportional to 111,966,039,969 and 246,754,324,803 is: 543,805,039,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,966,039,969 : 246,754,324,803 = 246,754,324,803 : x
  2. Step 2: Convert to fraction form
    111,966,039,969/246,754,324,803 = 246,754,324,803/x
  3. Step 3: Cross multiply
    111,966,039,969x = 246,754,324,803 × 246,754,324,803
  4. Step 4: Simplify right side
    111,966,039,969x = 60,887,696,808,984,417,665,024
  5. Step 5: Solve for x
    x = 60,887,696,808,984,417,665,024/111,966,039,969
  6. Step 6: Final answer
    x = 543,805,039,687.41

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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.