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Finding the Third Proportional to 557,839,287 and 1,216,121,076

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Solution

The third proportional to 557,839,287 and 1,216,121,076 is: 2,651,212,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,839,287 : 1,216,121,076 = 1,216,121,076 : x
  2. Step 2: Convert to fraction form
    557,839,287/1,216,121,076 = 1,216,121,076/x
  3. Step 3: Cross multiply
    557,839,287x = 1,216,121,076 × 1,216,121,076
  4. Step 4: Simplify right side
    557,839,287x = 1,478,950,471,491,397,888
  5. Step 5: Solve for x
    x = 1,478,950,471,491,397,888/557,839,287
  6. Step 6: Final answer
    x = 2,651,212,465.59

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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.