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Finding the Third Proportional to 1,178,696,352 and 1,964,375,529

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Solution

The third proportional to 1,178,696,352 and 1,964,375,529 is: 3,273,761,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,696,352 : 1,964,375,529 = 1,964,375,529 : x
  2. Step 2: Convert to fraction form
    1,178,696,352/1,964,375,529 = 1,964,375,529/x
  3. Step 3: Cross multiply
    1,178,696,352x = 1,964,375,529 × 1,964,375,529
  4. Step 4: Simplify right side
    1,178,696,352x = 3,858,771,218,934,029,824
  5. Step 5: Solve for x
    x = 3,858,771,218,934,029,824/1,178,696,352
  6. Step 6: Final answer
    x = 3,273,761,908.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.