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Finding the Third Proportional to 1,729,680,950 and 2,583,186,963

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Solution

The third proportional to 1,729,680,950 and 2,583,186,963 is: 3,857,853,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,680,950 : 2,583,186,963 = 2,583,186,963 : x
  2. Step 2: Convert to fraction form
    1,729,680,950/2,583,186,963 = 2,583,186,963/x
  3. Step 3: Cross multiply
    1,729,680,950x = 2,583,186,963 × 2,583,186,963
  4. Step 4: Simplify right side
    1,729,680,950x = 6,672,854,885,813,163,008
  5. Step 5: Solve for x
    x = 6,672,854,885,813,163,008/1,729,680,950
  6. Step 6: Final answer
    x = 3,857,853,025.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.