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Finding the Third Proportional to 557,839,260 and 1,216,120,977

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Solution

The third proportional to 557,839,260 and 1,216,120,977 is: 2,651,212,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,839,260 : 1,216,120,977 = 1,216,120,977 : x
  2. Step 2: Convert to fraction form
    557,839,260/1,216,120,977 = 1,216,120,977/x
  3. Step 3: Cross multiply
    557,839,260x = 1,216,120,977 × 1,216,120,977
  4. Step 4: Simplify right side
    557,839,260x = 1,478,950,230,699,434,496
  5. Step 5: Solve for x
    x = 1,478,950,230,699,434,496/557,839,260
  6. Step 6: Final answer
    x = 2,651,212,162.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.