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Finding the Third Proportional to 486,771,852 and 1,147,933,020

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Solution

The third proportional to 486,771,852 and 1,147,933,020 is: 2,707,120,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,771,852 : 1,147,933,020 = 1,147,933,020 : x
  2. Step 2: Convert to fraction form
    486,771,852/1,147,933,020 = 1,147,933,020/x
  3. Step 3: Cross multiply
    486,771,852x = 1,147,933,020 × 1,147,933,020
  4. Step 4: Simplify right side
    486,771,852x = 1,317,750,218,406,320,384
  5. Step 5: Solve for x
    x = 1,317,750,218,406,320,384/486,771,852
  6. Step 6: Final answer
    x = 2,707,120,826.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.