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Finding the Third Proportional to 29,546,052.75 and 47,200,451.63

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Solution

The third proportional to 29,546,052.75 and 47,200,451.63 is: 75,403,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546,052.75 : 47,200,451.63 = 47,200,451.63 : x
  2. Step 2: Convert to fraction form
    29,546,052.75/47,200,451.63 = 47,200,451.63/x
  3. Step 3: Cross multiply
    29,546,052.75x = 47,200,451.63 × 47,200,451.63
  4. Step 4: Simplify right side
    29,546,052.75x = 2,227,882,633,603,965.25
  5. Step 5: Solve for x
    x = 2,227,882,633,603,965.25/29,546,052.75
  6. Step 6: Final answer
    x = 75,403,731.67

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.