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Finding the Third Proportional to 512,417,666,163 and 1,067,247,839,094

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Solution

The third proportional to 512,417,666,163 and 1,067,247,839,094 is: 2,222,831,149,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,417,666,163 : 1,067,247,839,094 = 1,067,247,839,094 : x
  2. Step 2: Convert to fraction form
    512,417,666,163/1,067,247,839,094 = 1,067,247,839,094/x
  3. Step 3: Cross multiply
    512,417,666,163x = 1,067,247,839,094 × 1,067,247,839,094
  4. Step 4: Simplify right side
    512,417,666,163x = 1,139,017,950,050,812,547,825,664
  5. Step 5: Solve for x
    x = 1,139,017,950,050,812,547,825,664/512,417,666,163
  6. Step 6: Final answer
    x = 2,222,831,149,791.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.