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Finding the Third Proportional to 1,189,535,329 and 2,576,769,971

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Solution

The third proportional to 1,189,535,329 and 2,576,769,971 is: 5,581,795,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,535,329 : 2,576,769,971 = 2,576,769,971 : x
  2. Step 2: Convert to fraction form
    1,189,535,329/2,576,769,971 = 2,576,769,971/x
  3. Step 3: Cross multiply
    1,189,535,329x = 2,576,769,971 × 2,576,769,971
  4. Step 4: Simplify right side
    1,189,535,329x = 6,639,743,483,447,341,056
  5. Step 5: Solve for x
    x = 6,639,743,483,447,341,056/1,189,535,329
  6. Step 6: Final answer
    x = 5,581,795,951.39

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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.