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Finding the Third Proportional to 2,123,695,834 and 3,215,052,941

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Solution

The third proportional to 2,123,695,834 and 3,215,052,941 is: 4,867,253,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,695,834 : 3,215,052,941 = 3,215,052,941 : x
  2. Step 2: Convert to fraction form
    2,123,695,834/3,215,052,941 = 3,215,052,941/x
  3. Step 3: Cross multiply
    2,123,695,834x = 3,215,052,941 × 3,215,052,941
  4. Step 4: Simplify right side
    2,123,695,834x = 10,336,565,413,432,750,080
  5. Step 5: Solve for x
    x = 10,336,565,413,432,750,080/2,123,695,834
  6. Step 6: Final answer
    x = 4,867,253,232.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.