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Finding the Third Proportional to 486,771,888 and 1,147,933,104

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Solution

The third proportional to 486,771,888 and 1,147,933,104 is: 2,707,121,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,771,888 : 1,147,933,104 = 1,147,933,104 : x
  2. Step 2: Convert to fraction form
    486,771,888/1,147,933,104 = 1,147,933,104/x
  3. Step 3: Cross multiply
    486,771,888x = 1,147,933,104 × 1,147,933,104
  4. Step 4: Simplify right side
    486,771,888x = 1,317,750,411,259,074,816
  5. Step 5: Solve for x
    x = 1,317,750,411,259,074,816/486,771,888
  6. Step 6: Final answer
    x = 2,707,121,022.69

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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.