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Finding the Third Proportional to 512,417,726,716 and 1,067,247,966,052

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Solution

The third proportional to 512,417,726,716 and 1,067,247,966,052 is: 2,222,831,415,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,417,726,716 : 1,067,247,966,052 = 1,067,247,966,052 : x
  2. Step 2: Convert to fraction form
    512,417,726,716/1,067,247,966,052 = 1,067,247,966,052/x
  3. Step 3: Cross multiply
    512,417,726,716x = 1,067,247,966,052 × 1,067,247,966,052
  4. Step 4: Simplify right side
    512,417,726,716x = 1,139,018,221,042,130,973,884,416
  5. Step 5: Solve for x
    x = 1,139,018,221,042,130,973,884,416/512,417,726,716
  6. Step 6: Final answer
    x = 2,222,831,415,965.86

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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.