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Finding the Third Proportional to 512,417,726,718 and 1,067,247,966,056

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Solution

The third proportional to 512,417,726,718 and 1,067,247,966,056 is: 2,222,831,415,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,417,726,718 : 1,067,247,966,056 = 1,067,247,966,056 : x
  2. Step 2: Convert to fraction form
    512,417,726,718/1,067,247,966,056 = 1,067,247,966,056/x
  3. Step 3: Cross multiply
    512,417,726,718x = 1,067,247,966,056 × 1,067,247,966,056
  4. Step 4: Simplify right side
    512,417,726,718x = 1,139,018,221,050,668,966,215,680
  5. Step 5: Solve for x
    x = 1,139,018,221,050,668,966,215,680/512,417,726,718
  6. Step 6: Final answer
    x = 2,222,831,415,973.84

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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.