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Finding the Third Proportional to 1,189,535,342 and 2,576,769,996

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Solution

The third proportional to 1,189,535,342 and 2,576,769,996 is: 5,581,795,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,535,342 : 2,576,769,996 = 2,576,769,996 : x
  2. Step 2: Convert to fraction form
    1,189,535,342/2,576,769,996 = 2,576,769,996/x
  3. Step 3: Cross multiply
    1,189,535,342x = 2,576,769,996 × 2,576,769,996
  4. Step 4: Simplify right side
    1,189,535,342x = 6,639,743,612,285,840,384
  5. Step 5: Solve for x
    x = 6,639,743,612,285,840,384/1,189,535,342
  6. Step 6: Final answer
    x = 5,581,795,998.70

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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.