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Finding the Third Proportional to 2,662,955,704.13 and 5,789,413,082.25

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Solution

The third proportional to 2,662,955,704.13 and 5,789,413,082.25 is: 12,586,504,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662,955,704.13 : 5,789,413,082.25 = 5,789,413,082.25 : x
  2. Step 2: Convert to fraction form
    2,662,955,704.13/5,789,413,082.25 = 5,789,413,082.25/x
  3. Step 3: Cross multiply
    2,662,955,704.13x = 5,789,413,082.25 × 5,789,413,082.25
  4. Step 4: Simplify right side
    2,662,955,704.13x = 33,517,303,836,927,447,040
  5. Step 5: Solve for x
    x = 33,517,303,836,927,447,040/2,662,955,704.13
  6. Step 6: Final answer
    x = 12,586,504,456.31

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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.