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Finding the Third Proportional to 1,178,696,343 and 1,964,375,515.13

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Solution

The third proportional to 1,178,696,343 and 1,964,375,515.13 is: 3,273,761,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,696,343 : 1,964,375,515.13 = 1,964,375,515.13 : x
  2. Step 2: Convert to fraction form
    1,178,696,343/1,964,375,515.13 = 1,964,375,515.13/x
  3. Step 3: Cross multiply
    1,178,696,343x = 1,964,375,515.13 × 1,964,375,515.13
  4. Step 4: Simplify right side
    1,178,696,343x = 3,858,771,164,422,608,896
  5. Step 5: Solve for x
    x = 3,858,771,164,422,608,896/1,178,696,343
  6. Step 6: Final answer
    x = 3,273,761,887.31

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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.