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Finding the Third Proportional to 557,839,262 and 1,216,120,980

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Solution

The third proportional to 557,839,262 and 1,216,120,980 is: 2,651,212,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,839,262 : 1,216,120,980 = 1,216,120,980 : x
  2. Step 2: Convert to fraction form
    557,839,262/1,216,120,980 = 1,216,120,980/x
  3. Step 3: Cross multiply
    557,839,262x = 1,216,120,980 × 1,216,120,980
  4. Step 4: Simplify right side
    557,839,262x = 1,478,950,237,996,160,512
  5. Step 5: Solve for x
    x = 1,478,950,237,996,160,512/557,839,262
  6. Step 6: Final answer
    x = 2,651,212,165.84

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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.