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Finding the Third Proportional to 1,589,126,274 and 3,421,119,519

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Solution

The third proportional to 1,589,126,274 and 3,421,119,519 is: 7,365,090,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,126,274 : 3,421,119,519 = 3,421,119,519 : x
  2. Step 2: Convert to fraction form
    1,589,126,274/3,421,119,519 = 3,421,119,519/x
  3. Step 3: Cross multiply
    1,589,126,274x = 3,421,119,519 × 3,421,119,519
  4. Step 4: Simplify right side
    1,589,126,274x = 11,704,058,763,282,790,400
  5. Step 5: Solve for x
    x = 11,704,058,763,282,790,400/1,589,126,274
  6. Step 6: Final answer
    x = 7,365,090,461.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.