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Finding the Third Proportional to 1,996,667,171 and 3,115,875,290

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Solution

The third proportional to 1,996,667,171 and 3,115,875,290 is: 4,862,442,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,667,171 : 3,115,875,290 = 3,115,875,290 : x
  2. Step 2: Convert to fraction form
    1,996,667,171/3,115,875,290 = 3,115,875,290/x
  3. Step 3: Cross multiply
    1,996,667,171x = 3,115,875,290 × 3,115,875,290
  4. Step 4: Simplify right side
    1,996,667,171x = 9,708,678,822,832,584,704
  5. Step 5: Solve for x
    x = 9,708,678,822,832,584,704/1,996,667,171
  6. Step 6: Final answer
    x = 4,862,442,255.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.