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Finding the Third Proportional to 29,097,672.75 and 48,494,063.25

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Solution

The third proportional to 29,097,672.75 and 48,494,063.25 is: 80,820,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097,672.75 : 48,494,063.25 = 48,494,063.25 : x
  2. Step 2: Convert to fraction form
    29,097,672.75/48,494,063.25 = 48,494,063.25/x
  3. Step 3: Cross multiply
    29,097,672.75x = 48,494,063.25 × 48,494,063.25
  4. Step 4: Simplify right side
    29,097,672.75x = 2,351,674,170,495,000.50
  5. Step 5: Solve for x
    x = 2,351,674,170,495,000.50/29,097,672.75
  6. Step 6: Final answer
    x = 80,820,008.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.