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Finding the Third Proportional to 1,583,729,802 and 2,327,111,025.75

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Solution

The third proportional to 1,583,729,802 and 2,327,111,025.75 is: 3,419,425,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,729,802 : 2,327,111,025.75 = 2,327,111,025.75 : x
  2. Step 2: Convert to fraction form
    1,583,729,802/2,327,111,025.75 = 2,327,111,025.75/x
  3. Step 3: Cross multiply
    1,583,729,802x = 2,327,111,025.75 × 2,327,111,025.75
  4. Step 4: Simplify right side
    1,583,729,802x = 5,415,445,726,167,217,152
  5. Step 5: Solve for x
    x = 5,415,445,726,167,217,152/1,583,729,802
  6. Step 6: Final answer
    x = 3,419,425,282.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.