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Finding the Third Proportional to 557,839,251 and 1,216,120,959

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Solution

The third proportional to 557,839,251 and 1,216,120,959 is: 2,651,212,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,839,251 : 1,216,120,959 = 1,216,120,959 : x
  2. Step 2: Convert to fraction form
    557,839,251/1,216,120,959 = 1,216,120,959/x
  3. Step 3: Cross multiply
    557,839,251x = 1,216,120,959 × 1,216,120,959
  4. Step 4: Simplify right side
    557,839,251x = 1,478,950,186,919,079,680
  5. Step 5: Solve for x
    x = 1,478,950,186,919,079,680/557,839,251
  6. Step 6: Final answer
    x = 2,651,212,126.55

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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.