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Finding the Third Proportional to 681,432,790,612 and 1,471,667,154,634

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Solution

The third proportional to 681,432,790,612 and 1,471,667,154,634 is: 3,178,309,356,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,432,790,612 : 1,471,667,154,634 = 1,471,667,154,634 : x
  2. Step 2: Convert to fraction form
    681,432,790,612/1,471,667,154,634 = 1,471,667,154,634/x
  3. Step 3: Cross multiply
    681,432,790,612x = 1,471,667,154,634 × 1,471,667,154,634
  4. Step 4: Simplify right side
    681,432,790,612x = 2,165,804,214,028,533,562,867,712
  5. Step 5: Solve for x
    x = 2,165,804,214,028,533,562,867,712/681,432,790,612
  6. Step 6: Final answer
    x = 3,178,309,356,207.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.