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Finding the Third Proportional to 1,988,729,214 and 2,765,169,699.75

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Solution

The third proportional to 1,988,729,214 and 2,765,169,699.75 is: 3,844,748,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,729,214 : 2,765,169,699.75 = 2,765,169,699.75 : x
  2. Step 2: Convert to fraction form
    1,988,729,214/2,765,169,699.75 = 2,765,169,699.75/x
  3. Step 3: Cross multiply
    1,988,729,214x = 2,765,169,699.75 × 2,765,169,699.75
  4. Step 4: Simplify right side
    1,988,729,214x = 7,646,163,468,415,505,408
  5. Step 5: Solve for x
    x = 7,646,163,468,415,505,408/1,988,729,214
  6. Step 6: Final answer
    x = 3,844,748,402.44

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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.