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Finding the Third Proportional to 1,988,747,305 and 2,765,194,164

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Solution

The third proportional to 1,988,747,305 and 2,765,194,164 is: 3,844,781,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,747,305 : 2,765,194,164 = 2,765,194,164 : x
  2. Step 2: Convert to fraction form
    1,988,747,305/2,765,194,164 = 2,765,194,164/x
  3. Step 3: Cross multiply
    1,988,747,305x = 2,765,194,164 × 2,765,194,164
  4. Step 4: Simplify right side
    1,988,747,305x = 7,646,298,764,619,659,264
  5. Step 5: Solve for x
    x = 7,646,298,764,619,659,264/1,988,747,305
  6. Step 6: Final answer
    x = 3,844,781,458.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.