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Finding the Third Proportional to 947,332,881,216 and 2,068,262,377,728

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Solution

The third proportional to 947,332,881,216 and 2,068,262,377,728 is: 4,515,529,174,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,332,881,216 : 2,068,262,377,728 = 2,068,262,377,728 : x
  2. Step 2: Convert to fraction form
    947,332,881,216/2,068,262,377,728 = 2,068,262,377,728/x
  3. Step 3: Cross multiply
    947,332,881,216x = 2,068,262,377,728 × 2,068,262,377,728
  4. Step 4: Simplify right side
    947,332,881,216x = 4,277,709,263,125,080,067,538,944
  5. Step 5: Solve for x
    x = 4,277,709,263,125,080,067,538,944/947,332,881,216
  6. Step 6: Final answer
    x = 4,515,529,174,532.82

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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.