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Finding the Third Proportional to 2,139,982,104 and 3,013,566,372

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Solution

The third proportional to 2,139,982,104 and 3,013,566,372 is: 4,243,765,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,982,104 : 3,013,566,372 = 3,013,566,372 : x
  2. Step 2: Convert to fraction form
    2,139,982,104/3,013,566,372 = 3,013,566,372/x
  3. Step 3: Cross multiply
    2,139,982,104x = 3,013,566,372 × 3,013,566,372
  4. Step 4: Simplify right side
    2,139,982,104x = 9,081,582,278,449,242,112
  5. Step 5: Solve for x
    x = 9,081,582,278,449,242,112/2,139,982,104
  6. Step 6: Final answer
    x = 4,243,765,525.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.