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Finding the Third Proportional to 51,072,025.50 and 81,304,856.25

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Solution

The third proportional to 51,072,025.50 and 81,304,856.25 is: 129,434,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072,025.50 : 81,304,856.25 = 81,304,856.25 : x
  2. Step 2: Convert to fraction form
    51,072,025.50/81,304,856.25 = 81,304,856.25/x
  3. Step 3: Cross multiply
    51,072,025.50x = 81,304,856.25 × 81,304,856.25
  4. Step 4: Simplify right side
    51,072,025.50x = 6,610,479,649,833,164
  5. Step 5: Solve for x
    x = 6,610,479,649,833,164/51,072,025.50
  6. Step 6: Final answer
    x = 129,434,452.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.