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Finding the Third Proportional to 2,131,769,743 and 4,753,702,432

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Solution

The third proportional to 2,131,769,743 and 4,753,702,432 is: 10,600,435,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,769,743 : 4,753,702,432 = 4,753,702,432 : x
  2. Step 2: Convert to fraction form
    2,131,769,743/4,753,702,432 = 4,753,702,432/x
  3. Step 3: Cross multiply
    2,131,769,743x = 4,753,702,432 × 4,753,702,432
  4. Step 4: Simplify right side
    2,131,769,743x = 22,597,686,812,002,713,600
  5. Step 5: Solve for x
    x = 22,597,686,812,002,713,600/2,131,769,743
  6. Step 6: Final answer
    x = 10,600,435,101.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.