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Finding the Third Proportional to 1,091,040,969 and 2,393,313,090

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Solution

The third proportional to 1,091,040,969 and 2,393,313,090 is: 5,249,983,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,040,969 : 2,393,313,090 = 2,393,313,090 : x
  2. Step 2: Convert to fraction form
    1,091,040,969/2,393,313,090 = 2,393,313,090/x
  3. Step 3: Cross multiply
    1,091,040,969x = 2,393,313,090 × 2,393,313,090
  4. Step 4: Simplify right side
    1,091,040,969x = 5,727,947,546,765,347,840
  5. Step 5: Solve for x
    x = 5,727,947,546,765,347,840/1,091,040,969
  6. Step 6: Final answer
    x = 5,249,983,923.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.