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Finding the Third Proportional to 1,988,747,308 and 2,765,194,166

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Solution

The third proportional to 1,988,747,308 and 2,765,194,166 is: 3,844,781,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,747,308 : 2,765,194,166 = 2,765,194,166 : x
  2. Step 2: Convert to fraction form
    1,988,747,308/2,765,194,166 = 2,765,194,166/x
  3. Step 3: Cross multiply
    1,988,747,308x = 2,765,194,166 × 2,765,194,166
  4. Step 4: Simplify right side
    1,988,747,308x = 7,646,298,775,680,435,200
  5. Step 5: Solve for x
    x = 7,646,298,775,680,435,200/1,988,747,308
  6. Step 6: Final answer
    x = 3,844,781,458.62

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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.