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Finding the Third Proportional to 638,134,538,616 and 1,382,164,247,080

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Solution

The third proportional to 638,134,538,616 and 1,382,164,247,080 is: 2,993,691,596,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,134,538,616 : 1,382,164,247,080 = 1,382,164,247,080 : x
  2. Step 2: Convert to fraction form
    638,134,538,616/1,382,164,247,080 = 1,382,164,247,080/x
  3. Step 3: Cross multiply
    638,134,538,616x = 1,382,164,247,080 × 1,382,164,247,080
  4. Step 4: Simplify right side
    638,134,538,616x = 1,910,378,005,906,223,347,531,776
  5. Step 5: Solve for x
    x = 1,910,378,005,906,223,347,531,776/638,134,538,616
  6. Step 6: Final answer
    x = 2,993,691,596,837.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.