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Finding the Third Proportional to 486,771,849 and 1,147,933,012.50

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Solution

The third proportional to 486,771,849 and 1,147,933,012.50 is: 2,707,120,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,771,849 : 1,147,933,012.50 = 1,147,933,012.50 : x
  2. Step 2: Convert to fraction form
    486,771,849/1,147,933,012.50 = 1,147,933,012.50/x
  3. Step 3: Cross multiply
    486,771,849x = 1,147,933,012.50 × 1,147,933,012.50
  4. Step 4: Simplify right side
    486,771,849x = 1,317,750,201,187,325,184
  5. Step 5: Solve for x
    x = 1,317,750,201,187,325,184/486,771,849
  6. Step 6: Final answer
    x = 2,707,120,808.02

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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.